Prove that:
(1 + Tan²A) Cos²A = 1​

Answers

Answer 1

Step-by-step explanation:

=(1+ sin^2 A/cos^2 A).cos^2 A

=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A

=[1/cos^2 a] . cos^2 a

=1


Related Questions

Help me please I do not understand

Answers

9514 1404 393

Answer:

  95

Step-by-step explanation:

The sequence of first differences is ...

  32 -25 = 7

  37 -32 = 5

  47 -37 = 10

  58 -47 = 11

  71 -58 = 13

  79 -71 = 8

These seem to have no pattern, so the sequence is not arithmetic, geometric, quadratic, or any other common type.

If we look at the digits of the numbers in the series, we see they have sums of ...

  2 +5 = 7

  3 +2 = 5

  3 +7 = 10

  4 +7 = 11

  5 +8 = 13

  7 +1 = 8

  7 +9 = 16

That is, the difference between a number and the next in sequence appears to be the sum of the digits of the number. This rule tells us the next number is ...

   79 +(7+9) = 95 . . . next number in sequence

_____

Additional comment

Sometimes, finding the rule is as much a right-brain activity as it is one of logic or deduction. Often, it is not obvious or easy. Questions like this one are intended to help you learn to think "out of the box."

Which expression is equivalent to this equation

Answers

Answer:

17-5

Step-by-step explanation:

lol XD I spent alot of time trying to answer this you better say thanks

I need help with these 4 problems

Answers

As a result, using the values provided, we can turn these data into a bar graph.

What is a graph?

A graph is a type of non-linear data structure that consists of nodes, also called vertices, and edges. Any two edges can connect the nodes, which are also known as vertices in a graph. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 5, and 4, 50.

Here,

The gene contributes to the development of pigment.

Yes, factors such as temperature, light cycle, and the presence of mutagens can affect the color of the fur.

In the evolution chart, Mcl provided has ullets that it runs. In mature solutions, the dominating truit moderate is thus always present.

Therefore, using the supplied numbers, we may convert these data into a bar graph.

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heh help please my bootiful people lol

Answers

Answer:

x = 52

Step-by-step explanation:

128 + x = 180

180 - 128 = x

x = 52

Have a nice day!

7.7 is what percent of 16? round to the nearest hundredth?

Answers

Answer:

7.7 x x/100 = 16

x100             x100

7.7x = 1,600

Divide by 7.7 on both sides:

X = 207.79 around 208

Answer:48.13%

Step-by-step explanation:

7.7÷16×100=48.125%

Rounded to nearest hundredth=48.13%

can someone please help me

Answers

Answer: m= 0 ; b= 16

(5,16) (-10,16)

Step-by-step explanation:

y=16 so dont need to find y cause it already there so (5,16) (-10,16)

m=y^2- y^1 / x^2-x^1

16-16 / -10-5 = 0/-15 = 0. So m= 0

b is y-intercept and we have y=16 so b=16

A cone whose apex lies along its center axis and whose axis is perpendicular to its base is called a __________ cone.

Answers

A right cone is a cone whose apex is located along its center axis and whose axis is perpendicular to its base.

What is meant by right cone?When the line connecting the vertex to the circular base's midpoint forms the cone's axis, the cone is said to be right circular. In other words, the apex of the cone and the centre point of the circular base meet and form a right angle. Having a circular base and an apex or vertex, a cone is a three-dimensional solid. The cone whose axis line is parallel to the base is referred to as the right circular cone. In mathematics, a cone is a recognizable three-dimensional geometric shape having a smooth and curving surface pointing upward. The word "cone" comes from the Greek word "konos," which denotes a peak or a wedge.

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97 = 10x + 27 need help!!

Answers

Answer:

x=7

Step-by-step explanation:

97 = 10x + 27

97 - 27 = 10x

70 = 10x

70/10 = x

7=x

Answer:

X=7

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

97=10x+27

-27. -27

70=10x

/10. /10

X=7

I NEED HELPPPPPPPPPPPPP

Answers

Answer:

y= 12

Step-by-step explanation:

3(-12)-24

-36-24

-12

On her first day of work, Janabel sold one widget. On day two, she sold three widgets. On day three, she sold five widgets, and on each succeeding day, she sold two more widgets than she had sold on the previous day. How many widgets in total had Janabel sold after working 2020 days

Answers

On solving the provided question, we can say that the sequence what we tell on day 3 = he sold 5; on day 4 = he sold 7; on day 5 = he sold 9

what is a sequence?

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

here,

on day 1 = he sold 1

on day 2 = he sold 3

on day 3 = he sold 5

on day 4 = he sold 7

on day 5 = he sold 9

.

.

.

.

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Pls help me I’ll give thxs and brainiest if you answer correctly to both exercises

Answers

Answer:

Activity 1

1. a.8, b.4, c.8, d.12

2. a.10, b.8, c.20, d.40

3. a.16, b.9, c.40, d.27

Activity 2

1. a.10, b.40, c.15

2. a.4, b.35, c.14

3. a.80, b.20, c.2.5

if cosØ=1/6 what are the values of sinØ and tanØ?

Answers

Answer:

Step-by-step explanation:

cos theta = (adjacent side) / (hypotenuse) = 1/6.  The adjacent side has length 1 and the hypotenuse length 6.  The opposite side has length

√(6^2 - 1^2) = ÷√35

and so sin theta = (opp side) / (hypotenuse) = (√35) / 6

and tan theta = [(√35) / 6] / (1/6), or √35

pls help me i don't get it plssssss https://s3.amazonaws.com/content.accelerate-ed.com/Elementary/docs/Math5/Module10Assignment3.pdf

Answers

Answer:

I have a screenshot so here you go

Step-by-step explanation:

Calculate $0^5 + (-1)^4$.

Answers

The equation 0⁵ + (-1)⁴ involving exponents is solved to get

1

What are exponents in math?

The way of representing huge numbers in terms of powers is known as an exponent.

Exponent, then, is the number of times a number has been multiplied by itself. exponents are also referred to as raise to power

When a zero is raised to the power of any number will yield zero zero, this is because when zero keep multiplying itself zeo will be the resulat repeated times

hence for the equation  0⁵ + (-1)⁴ the part that has zero will give zero remaking the part with a negative number

= 0⁵ + (-1)⁴

= (-1)⁴

= -1 * -1 * -1 * -1

= 1 * 1

= 1

hence the answer is 1

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One of the legs of a right triangle measures 14cm and its hypotenuse measures 15cm. Find the measure of the other leg

Answers

the measure of the missing leg is 5.38

or 5.4

Step-by-step explanation:

s is for Squared

Cs= As+Bs

let's say 14cm was side a

Bs=Cs-As

Bs= 15s-14s

Bs=225-196

Bs=29

B= square root of Bs

B=5.38

Answer:

5.4

Step-by-step explanation:

c² = a² + b²

15² = 14² + b

225 = 196 + b

b = 225 - 196

= 29

= 5.4

How do you describe rational and irrational?

Answers

Rational and Irrational numbers can described as the number that can be expressed as [tex]\frac{p}{q}[/tex] are rational and which cannot be expressed are called as Irrational Numbers .

The Rational Numbers are defined as a number that can be represented in the form of [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex].

We can also , say that the fraction where the denominator and the numerator are integers and the denominator is not equal to zero are called as Rational Numbers .

For Example : [tex]\frac{2}{3} , \frac{4}{9}[/tex] represents a rational numbers .

The Irrational Numbers are defined as a real number that cannot be expressed as a ratio of integers .

For Example : [tex]\sqrt{2} , \sqrt{5}[/tex] represents a Irrational number .

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raph g(x)=(x+2)(x - 1) - x^{2}g(x)=(x+2)(x−1)−x 2 by making a table and plotting the corresponding points. Then, determine if the function is linear, quadratic, or neither.

Answers

The graph from the function is a linear graph

How to determine the graph from the function

From the question, we have the following parameters that can be used in our computation:

g(x)=(x+2)(x−1)−x 2

Express properly

So, we have the following representation

g(x) = (x + 2)(x − 1) − x²

Next, we set x = 0, 1, 2 and 3 to determine the table of values

g(0) = (0 + 2)(0 − 1) − (0)² = -2

g(1) = (1 + 2)(1 − 1) − (1)² = -1

g(2) = (2 + 2)(2 − 1) − (2)² = 0

g(3) = (3 + 2)(3 − 1) − (3)² = 1

So, the table is

x        0         1        2        3

g(x)     -2      -1        0        1

From the table above, we can see that as x increases by 1, y constantly increase by 1

This means that the function is a linear function

See attachment for the graph

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Find the surface area of a cylinder with a height of and a base diameter of .
Use the value 3.14 for π , and do not do any rounding.
Be sure to include the correct unit.

Answers

Answer:

207.24 in.

(This is not a rounded answer)

Step-by-step explanation:

So, this will be very fun, simple, and easy!

First thing we do is use this formula, A(s) = 2πrh + 2πr²

We don't know the surface area yet, and that's what we are looking for, so first off we go ahead and plug in the radius, which is 6 divided by 2, and that's 3! The height is 8 inches!

Let's plug in 3.14 for pie too.

A(s) = 2(3.14)3(8) + 2(3.14)3²

Let's start solving.

A(s) = 150.72 + 2(3.14)3²

3 squared is 9!

A(s) = 150.72 + 56.52

A(s) = 207.24 inches

So, the answer is...207.24 in.! THat is the correct answer, but if I'm wrong, please comment so I can change my answer! Thanks for the points, have a great day or else!

How do you find the surface area and the volume to a composite figure?

Answers

Answer:

वि स्कुल माध्यामिक विद्यालय निम्न माध्यामिक विद्यालय व्यवस्थापन समिति सम्पादन र प्रकाशनमा बुटवलबाट निस्कने एक्सरे साप्ताहिकमा एक पटक साप्ताहिकमा छापिएको थियो। प्रकाशित

i need help with this question

Answers

The required slope of the linear equation is -3 which values shown in the table.

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The table is given in the question as follows:

x          y

-4       -15

-2        9

0         3

2        -3

4         -9

As per the question, we take the given points are (0, 3) and (4, -9).

So we can substitute these values into the formula:

m = (-9 - 3) / (4 - 0)

m = -12 / 4

Apply the division operation, and we get

m = -3

Therefore, the required slope of the linear equation is -3.

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Please help!! ;(((( I’m struggling

Answers

On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and

what is function?

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

Here,

[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)

g(x) = -3(x-5)(x+1)

[tex]g(x) = -3(x-5)(x+1)[/tex]

g(x) = -3 + 12x + 15

y-intercept of g(x) is (0,15)

Therefore , the solution to the given problem of the equation comes out be  y-intercept of g(x) is (0,15).

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b. Consider a circle with centre O and radius of 4 units. The distance of point P is 2 units from centre. Find the distance of inverse of point P' from the centre O.​

Answers

The distance of the inverse of point P' from the centre O is also 4 units. This is because the inverse of a point is the point on the opposite side of the circle from the original point, and the radius of the circle is 4 units. Therefore, the distance of the inverse of point P' from the centre O is also 4 units.

Which linear graph represents a proportional relationship?

A graph of a straight line that passes through the points 0 comma 2 and 1 comma 2.

A graph of a straight line that passes through the points negative 1 comma 0 and negative 1 comma 1.

A graph of a straight line that passes through the points 0 comma 0 and 1 comma negative 2.

A graph of a straight line that passes through the points 0 comma 2 and 2 comma 3.

Answers

Answer: The answer is C

Step-by-step explanation: i took the test and got it right

How do you find the longest side of an acute triangle?

Answers

The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.

Triangle

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Angle

A figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

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Find the missing lengths.

Answers

Answer:

x = 5√2

Step-by-step explanation:

The triangle on the right is a special right triangle, so we know that the adjacent side to 60° is 5. Since the left triangle is a 45-45-90, the hypotenuse is the leg times √2, so the value of x is 5√2

URGENT!! 50 POINTS!!! based on the linear table of ordered pairs, what is the y intercept?

Answers

Answer:

y- intercept = 0

Step-by-step explanation:

the linear function can be expressed in slope- intercept form, that is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁ , y₁ ) = (4, - 4) and (x₂, y₂ ) = (- 2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-(-4)}{-2-4}[/tex] = [tex]\frac{2+4}{-6}[/tex] = [tex]\frac{6}{-6}[/tex] = - 1

the line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - x + 0, that is

y = - x ←  is the linear function defining the ordered pairs in the table

The sum of the measures of the interior angles of a convex polygon is 1260°. Classify the polygon by the number of
sides.
O Heptagon
O Octagon
ONonagon
O Decagon

Answers

The polygon presented will have nine sides. This suggests that a nonagon is the necessary polygon.

How can you determine a polygon's entire angle?

Divide the number of triangles in the polygon by 180° to determine the sum of its inner angles. Where is the number of sides, the formula for computing the sum of internal angles is (n 2) 180. In a regular polygon, all internal angles are equal.

What is the formula for polygons?

The following are crucial polygon formulas: A polygon with "n" sides has a total interior angle sum of 180 degrees (n-2) A "n-sided" polygon has [n(n-3)]/2 diagonals. A regular n-sided polygon's internal angles are measured as [(n-2)180°]/n.

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A. To wash the first window, Roger extends the
ladder to 20 feet long. He places the base of
the ladder 6 feet from the side of the house.
Sketch a labeled picture of this to the right.
B. How far up the house will the 20-foot ladder
reach, to the nearest tenth of a foot? Show your
work in the space to the right.

Answers

Use Pythagorean theorem. Let h represent how far up the house the ladder is

h^2 + 6^2 = 20^2
h^2 + 36 = 400
h^2 = 364
h = 19.1 feet

Coach Brown buys packs of Gummi Bears at $0. 60 and resales them at $1. 0. At what percent did he mark the candy up?

A. 10. 47

B. 3. 59

C. 9

D. 67

E. 69

F. 10. 25

Answers

If the coach buys the packs of Gummi Bears at $0.60 and resales them at $1 , then the percent markup for the candy is (d) 67% .

The price for which the Coach buys Gummi Bears is = $0.60 ;

the price at which the Coach resales them is = $1 ;

So , the Markup is the difference in the price of purchase and price of resale of the candy ,

that means ; the [tex]Markup = \$1 - \$0.60[/tex] ;

= $0.4

So , the Percent Markup is = [tex]\frac{0.4}{0.6} \times 100[/tex]

= 66.66666...

≈ 67% .

Therefore , the percent Markup for the Candy is 67% .

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Help me ….::::..::::&:88338

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x - 6

Step-by-step explanation:

9y - 3x = -54

We want in the form

y = mx + b

9y - 3x = -54  Add 3x to both sides

9y - 3x + 3x =  3x - 54

9y = 3x - 54   Divide all the way through by 9

[tex]\frac{9y}{9}[/tex] = [tex]\frac{3x}{9}[/tex] - [tex]\frac{54}{9}[/tex]

y = [tex]\frac{3}{9}[/tex] x - 6

We can simplify [tex]\frac{3}{9}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x - 6

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How do I find parameter? What are 3 elements that are highly reactive? ____ data can have only a true or false (yes or no) values. You test the expression of the constructs from Part B and obtain the following results. Regulatory DNA Promoter Transcribed region Expression? 1. Affected child Affected child Affected child No 2. Older brother Older brother Older brother Yes 3. Older brother Older brother Affected child Yes 4. Affected child Older brother Older brother No 5. Older brother Affected child Older brother Yes Which of the three hypotheses do these results support? O The results support the hypothesis that the defect in the affected child is due to a defective promoter O The results support the hypothesis that the detect in the affected child is due to regulatory DNA that will not remodel O The results support the hypothesis that the defect in the affected child is due to a mutation in the transcribed region that causes mRNA instability How many total ATP are produced during glycolysis ? S3o5 chemical compound Im to lazy to do my own work so can anyone help? Please explain An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architects constraints, which of the following must be the tread depth, in inches, of the stairway? (1 foot = 12 inches)A) 7.2B) 9.5C) 10.6 D) 15 HELP ASAP QUESTION 13 A situation has arisen which requires an ethical decision to be made. To make an ethical decision the following steps are followed: 1) the situation is discussed and the associated problems explored, 2) the situation is carefully reviewed to determine how individuals are affected, and 3) ___ a. consider ethical standards and how they impact the decision. b. put strong feelings aside and come up with alternatives. c. explain the decision and resolve all differences. 50 POINTS q7 What was important about the Lewis and Clark Expedition? It found a path through the Cumberland Gap. It explored territory acquired in the Louisiana Purchase. It found a faster way for ships to get to the port of New Orleans. It revealed that gold was available in Kentucky. Quetion Six: The following account appear in the ledger of Alico Corporation after the book are cloed at December 31, 2019. Common Stock, $2 par value, 700,000 hare authorized, 400,000 hare iued $800,000 Paid-in Capital in Exce of Par ValueCommon Stock . 650,000 Preferred Stock, $100 par value, 8%, 10,000 hare authorized; 2,000 hare iued . 200,000 Retained Earning . 900,000 Treaury Stock (10,000 common hare) 85,000 Paid-in Capital in Exce of Par ValuePreferred Stock . 310,000 Required: Prepare the tockholder' equity ection at December 31, 2019 At the Middleton School festival, a tent covers a rectangular space 30 1/2 yards long and 9 1/3 yards wide. What is the area, in square yards, covered by the tent? Which of the following 3 lengths can be combined to form a right triangle? A. a = 1, b = 2, c = 3B. a = 7, b = 12, c = 13C. a = 9, b = 20, c = 21D. a = 8, b = 15, c = 17 write an argumentative essay about whether you think technology and the internet have brought young people closer together. use evidence from research to support your position. Write an expression for "b divided by 6." A grocery shopper tosses a(n) 9.0 kg bag of rice into a stationary 19.1 kg grocery cart. The bag hits the cart with a horizontal speed of 6.7 m/s toward the front of the cart. What is the final speed of the cart and bag What is the slope of the line? A. -2B. 1C. 0D. No slope Match the following volleyball terms to the definition:Group of answer choicesBLOCKING BUMP/FOREARM PASS GAME POINT MATCH Frank is going to plant n vegetable seeds in one garden and 2n +9 vegetable seeds in another. How many seeds is Frank going to plant?