Cos theta = -1/6 what is tan theta

Answers

Answer 1

Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .

What is trigonometry?

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.

Here.

Given : Cosθ = -1/6

To find : Tanθ

Since cosθ is in second quadrant

Thus,

Cosθ = B/H

According to pythagoras theorem,

H²= B²+ P²

=> 6² = 1² + P²

=> 36-1 =P²

=>P= √35


So ,

value of Tanθ comes out to be

=> tanθ = - √35 /1

=>tanθ = - √35

Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .

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Related Questions

Can someone help me with this?

Answers

Answer:11 weekends

Step-by-step explanation:

it will take 11 weekends

hola me pueden ayudar es para hoy pliss doy coronita ✨​

Answers

Answer:

Step-by-step explanation:

A. 62

B. 58

C. -19

The answer is 622222

HELP ASAP!!!!


A person is standing 19 feet from the base of a tree and there is a bird's nest in the tree 10 feet above the groundWhat is the angle off elevation from the person to the bird's nest? Round to the nearest tenth of a degree

Answers

Answer:

do your own work don't ask any question

Find the nearest tenth

Answers

Answer:

8.6

Step-by-step explanation:

Mean = Sum of numbers/amount of numbers

= (11+13+8+9+4+8+7)/7

= 60/7

= 8.6

99 Divided by 2=48 r1 is that true or faulse

Answers

Answer:

Yes, the answer is 'True'

what is the area of 3 2/3 X 2

Answers

Answer:

7.33333333333

Step-by-step explanation:

this was easy i did it in my head

13yd 2ft 6in x 15 =
i need to know the answer to this problem

Answers

Using the unit conversion and converting all the distance units to inches, The final answer is 7575 inches.

What do you mean by unit conversion?

Divide the smaller unit's value by the quantity of smaller units required to create the larger unit. Multiply to change from a larger to a smaller unit. Divide to change from a smaller unit to a larger one. We need to convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we do not measure a pencil's length in kilometers. In this situation, one must convert from kilometers (km) to centimeters (cm).

What do you mean by equations?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.

13 yard = 468inches

2ft = 24 inches

total 268+24+13 = 505inches

505*15 = 7575 inches

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Please help if you can ik it is Pythagorean theorem

Answers

Step-by-step explanation:

A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm

---> x^2 = h^2 + (b/2)^2

= (4.8 cm)^2 + (2.5)^2

= 23.04 cm^2 + 6.25 cm^2

or x = 5.41 cm

Therefore, the perimeter P is

P = 2x + b = 2(5.41 cm) + 5 cm = 15.8 cm

Write 1 and 6/7 as an improper fraction.

Answers

Answer:

13/7

Step-by-step explanation: YW :)

Answer:

[tex] \frac{13}{7} [/tex]

Step-by-step explanation:

7×1+6/7

13/7

plz mark as brainliest

Which function is shown on the graph?
of(x) = 1/2cos x
of(x) = -1/2cos x
Of(x) = -1/2sin x
Of(x) = 1/2sin x

Answers

The reasons and responses to the graphs in the question are as follows:

Graph 1.

The amplitude of the first graph is (1/2) which is the height from the midline to the peak

The value of the function at x = 0 is -(1/2), where sin(0) = 0, therefore, the function is a cosine function

The period of the graph is 2·π, which is the period of the parent cosine function

Therefore, the correct option is

Graph 2: Please find attached the graph of the function g(x) = 2×cos(x)

Graph 3: The frequency of a sinusoidal function is given as follows;

The period of the graph = π

Therefore;

The frequency of the sinusoidal graph is 2

Graph 4.  Required:

To find the equation that represents the function of the graph

Solution;

The period of the function, T = π

The graph of the function has a maximum at x = 0, therefore, the graph is similar to a cosine function, y = cos(B·x)

Where;

B = 2·π/T

Therefore;

B = 2·π/π = 2

Therefore;

The equation that represent the function in the graph is f(x) = cos(2·x)

Question 5. The given function is f(x) = cos(2·x)

The frequency factor in the given function, B = 2

The period, T = 2·π/B

Therefore, T = 2·π/2 = π

The period of the function, f(x) = cos(2·x), is 2

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Find the equation of the line that passes through (1,3) and is perpendicular to y=1−2x. Leave your answer in the form y=mx+c

Answers

Answer:

The equation of the line  that passes through (1,3) and is perpendicular to y=1−2x is y=1/2x+5/2

Step-by-step explanation:

We can rewrite the original equation as y=-2x+1

To find an equation's perpendicular slope, you take the reciprocal of it and negate it, therefore the perpendicular slope is -2 -> 1/-2 -> 1/2

So far, we have y=1/2x+b, but to find the y-intercept, b, we would need to plug in (1,3) and solve for b:

y=1/2x+b

3=1/2(1)+b

3=1/2+b

5/2=b

Therefore, your final equation is y=1/2x+5/2

What are the 4 names of an angle?

Answers

The four names of an angle are acute angle, right angle, obtuse angle, and reflex angle.

An acute angle measures less than 90 degrees.

A right angle measures exactly 90 degrees.

An obtuse angle measures greater than 90 degrees but less than 180 degrees.

A reflex angle measures greater than 180 degrees but less than 360 degrees.

It's worth noting that these names are based on the measure of the angle, an acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a reflex angle is greater than 180 degrees but less than 360 degrees.

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Solve for x: 0.4x - 3 = 1.4

Answers

Answer: x = 11

Step-by-step explanation:

First, add 3 to both sides

0.4x - 3 = 1.4

        +3    +3

0.4x = 4.4

Then, divide each side by 0.4 to isolate x

x = 11

please no links or anything but the correct answer!

Answers

Answer:

sinD ≈ 0.44

Step-by-step explanation:

sinD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CE}{CD}[/tex] = [tex]\frac{39}{89}[/tex] ≈ 0.44 ( to the nearest hundredth )

Solve for c.

c2−9 = b2

Answers

Under below.......................................

Identifying Characteristics of an Exponential Function
Consider the function f(x) = (6). What is the value of the growth factor of the function?
02
06
O 18

Answers

The function be f(x) = (6) then growth factor for the given equation (b) = 6.

What is meant by exponential growth function?

Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.

A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

The general exponential growth function is given by :-

[tex]$f(t)=A b^t$[/tex] , where A is the initial amount , b is the growth factor and t is the time period.

The given function : [tex]$f(x)=(6)^x$[/tex]

When we compare it to the general exponential equation , we get

The growth factor for the given equation (b) = 6.

The complete question is:

Consider the function f(x) = (6)x. What is the value of the growth factor of the function?

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The function be f(x) = (6) then growth factor for the given equation (b) = 6.

What is meant by exponential growth function?

Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.

A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

The general exponential growth function is given by :-

F(t) = AB^t, where A is the initial amount , b is the growth factor and t is the time period.

The given function : f(t) = (6)^x

When we compare it to the general exponential equation , we get

The growth factor for the given equation (b) = 6.

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The complete question is:

Consider the function f(x) = (6)x. What is the value of the growth factor of the function?

Solve for x. Assume that lines which appear tangent

Answers

Answer:

Step-by-step explanation:

Join line EG with a straight edge.

Put a point in the middle of the circle.

Call it O.

GO and EO form a central angle.

GOE = 120 degrees

Any point on the circumference of a circle that is on the same side of EG as the peak of the central angle = 1/2 the central angle. It's much easier to do this with an example

Arc EOG = 120 degrees.       The Central angle = the arc.

EFG = 1/2 EOG

EFG = 1/2 120

EFG = 60

11x + 5 = 60                           Given

     -5       -5                           Subtract 5 from both sides.

11x        = 55                           Divide by 11

x = 55/11

x = 5

What is the area of the figure, pls hurry 100 points

Answers

Answer:

25 1/6 square yards

Step-by-step explanation:

I am assuming you mean the area of the shaded figure.

So, let's do it this way.

Let's subtract the total area from the unshaded area:

7 1/4 x 6 = 43 1/2

Area of non-shaded = 18 1/3

Area of shaded = 43 1/2 - 18 1/3 = 25 1/6

Hope that helps! :)

-Aphrodite

A retailer is offering 5% off your total order, if you sign up for their email list. If your total is $254.20, how much will you save by signing up?

Answers

Answer:

$254.20 -  5%= 241.49 US$

so you will save up to 14

Please help will give brainliest

Answers

The answer will be A

WAT IS GOOGOLPLEX PLZ HLP

Answers

Answer:

number

equivalent to ten raised to the power of a googol.

Step-by-step explanation:

A googolplex is the number 10, or equivalently, 10. Written out in ordinary decimal notation, it is 1 followed by 10¹⁰⁰ zeroes; that is, a 1 followed by a googol zeroes

"Jose wants to put wall-to-wall carpeting in a rectangular room that measures 11 feet by 12 feet. The carpet costs $4.12 per square foot. How much will it cost for Jose to buy the carpet for the room? Write your answer in the box. you may use the sketch area to draw a diagram or show where, if you would like!"

links will be reported​

Answers

Answer:

$543.84

Step-by-step explanation:

Find the area of the room:

11*12 = 132ft^2

Multiply the area by the cost per square foot:

132*4.12 = 543.84 dollars

Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13

Answers

Answer:

Step-by-step explanation:

a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]

b.so 190000÷4.2=4523

c.finally, about 4523 times

To compare the two numbers, we need to compare the ratio of 1.9 • 10^-8 to 4.2 • 10^-13.

The first number, 1.9 • 10^-8, can be written as 0.00000019.
The second number, 4.2 • 10^-13, can be written as 0.000000000000042.

We can see that 1.9 • 10^-8 is much larger than 4.2 • 10^-13, as it has more trailing zeros. We can estimate that 1.9 • 10^-8 is about 45 times larger than 4.2 • 10^-13.

We can confirm this by counting the difference in the number of trailing zeros in both numbers. 1.910^-8 has 8 trailing zeroes and 4.210^-13 has 13 trailing zeroes, meaning 1.910^-8 is 8-13= -5 orders of magnitude larger than 4.210^-13

is it positive, negative or is it zero​

Answers

Answer:

What do you mean?

Step-by-step explanation:

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

B

Step-by-step explanation:

Theorem: If a quadrilateral has 2 sets of opposite sides congruent, 2 sets of opposite angles congruent, and has consecutive angles which are supplementary, then it is a parallelogram.

Hope this helps!

What is the nth term rule of the linear sequence below?

6, 13, 20, 27, 34, . . .

Answers

Answer:

7n - 1

Step-by-step explanation:

notice that the difference between adjacent terms is 7.

so nth term is given by:

nth term = first term + (n-1)×difference (n is any number)

= 6 + (n-1)7

= 6+ 7n -7

= 7n - 1

hope this helps :-))

The point N(-2,-3) is rotated 270° clockwise about the origin. What are the coordinates of N'?

A. (-3,-2)

B. (-3,2)

C. (3,-2)

Answers

The coordinate of N' is (2, -3)

Now, According to the question:

We have the point n (-2, -3) and we need to rotate it 270 degrees clockwise about the origin.

When rotating 270 clockwise about the origin you switch the x and y coordinate and use the opposite sign of the original y coordinate.

A(x, y) becomes A' (-y, x)

This means that point N becomes:

N (-2, -3) => N'(-(-2), (-3))

              => N'(2,- 3)

Hence, The coordinate of N' is (2, -3)

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Someone please help with this! I’ll give brainliest.
With full working

Answers

Answer:

k = -2

Step-by-step explanation:

The value of k is -2

cuz the point D is marked at (1,-2)

⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ a(1)=20 a(n)=a(n−1)−17 ​ third term

Answers

The third term of the arithmetic sequence will be negative 14.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term is 20 and the common difference is calculated as,

aₙ = aₙ₋₁ - 17

aₙ - aₙ₋₁ = - 17

d = - 17

Then the third term is calculated as,

a₃ = 20 + (3 - 1) (-17)

a₃ = 20 + 2 (-17)

a₃ = 20 - 34

a₃ = - 14

The third term of the arithmetic sequence will be negative 14.

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the cost per box!! please help (will mark first answer as brainliest!)

Answers

Answer:

$1.20

Step-by-step explanation:

Just divide $3.60 by 3. If that's the price of 3 boxes, dividing it by 3 will estimate it to how much 1 box will cost.

Answer:

$1.20 per box

Step-by-step explanation:

Hope this helps :)

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