Mathematics High School

If a cot α = 1 and b cos α = 1, find a2 – b 2​

Answers

Answer 1

The equivalent expression of the different of two square is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to difference of two squares;

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]

This shows that the equivalent expression of the difference of two squares is -1

Learn more here: https://brainly.com/question/11084694

Related Questions

not sure how to do these. i need help with 13! needing it to be reduced just like y should be 8

Answers

Answer:

I'm not sure 710

Step-by-step explanation:

I'm not sure

Answer:

#14

y=5

x=14

Step-by-step explanation:

I did 14 for you

the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.

can someone give me the coordinates that each option should be placed at??? hurry please!

Answers

Answer:

x = -10

Step-by-step explanation:

-2x - 10y = 20 (plug y=0)

-2x = 20

x = 20/-2

x = -10

what is the differences in length between a 1 1/4 inch butten and a 3/8 inch button

Answers

Answer:

7/8

Step-by-step explanation:

When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.

True
False

Answers

Parenthises

Exponent

Multiply

Divide

Add

Subtract

The answer is true because it comes before subtraction in the phrase PEMDAS.

Answer:

true

Step-by-step explanation:

please

excuse

my

dear

aunt

sally

aunt is the addition while sally is subtraction therefore it is true hope this helps!! :D

Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?

Answers

Answer

y = 32

Step-by-step explanation:

Let's solve your equation step-by-step.

0.3y+0.4(25−y)=6.8

Step 1: Simplify both sides of the equation.

0.3y+0.4(25−y)=6.8

0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)

0.3y+10+−0.4y=6.8

(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)

−0.1y+10=6.8

−0.1y+10=6.8

Step 2: Subtract 10 from both sides.

−0.1y+10−10=6.8−10

−0.1y=−3.2

Step 3: Divide both sides by -0.1.

-0.1y/-0.1=-3.2/-0.1

y=32

I hope this helps?

For the function f(x)=5(x+10), find
f −1(x).

Answers

Answer: f-1(x) = x/5 - 10

Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10

Steps:

The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.

[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]

So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]

hello if yall can help me please...

Answers

B. 3

at 4 weeks it is at 12 cm. 4x3 is 12

Answer:

A. 2

Step-by-step explanation:

4 to 6 to 8 to 10 to 12

Solve the equation. 9 ( − 2 ) =

Answers

Answer:

- 18

Step-by-step explanation:

9 ( - 2 )

= 9 x ( - 2 )

= - 18

Therefore, - 18 is the answer of the given equation.

Answer:

-18

Step-by-step explanation:

the parentheses mean to multiply, so 9 times 2 is 18, but since it is a negative and a positive that you're multiplying, then it would be negative 18

Christopher buys 3 pizzas for £13.56. If all of the pizzas are the same price, how much does one pizza cost? Give your answer in pounds (£).​

Answers

Answer:

£4.52

Step-by-step explanation:

£13.56/3

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: -15

Step-by-step explanation: in the picture

Step-by-step explanation:

Basically,

expand the brackets; multiply everything in the bracket by -3,

-3(x+5)=-3x+-15

= -3x-15

There ya go, hope this helps...

You have 30 chocolate candy but Jayna has 10 more chocolate candy than you and Amy has A what does A equal to ?

Answers

Answer:

40

Step-by-step explanation:

so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea

Solve for x: 16 = x + 32

Answers

Answer:

Step-by-step explanation:

-16

Answer:

x= -16

Step-by-step explanation:

What is the value of 6(9+2)/h when g = 6 and h = 4?​

Answers

Answer: 12

Plug 6 and 4 into the problem-

6(6 + 2)/4

6(8)/4

48/4 = 12

Hey there!

6(g + 2) / h

= 6(6 + 2) / 4

= 6(8) / 4

= 8(6) / 4

= 8 + 8 + 8 + 8 + 8 + 8 / 4

= 16 + 16 + 16 / 4

= 32 + 16 / 4

= 48 / 4

= 48 ÷ 4 / 4 ÷ 4

= 12 / 1

= 12 ÷ 1

= 12


Therefore, your answer is: 12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Helpppppppp please it’s due today

Answers

Answer:

Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)

Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents

Answers

Answer:

5 inches

Step-by-step explanation:

60÷12=5 cents ( 1 inches of wire )

25÷5=5 inches

Evaluate. -1/4(d+1) < 2
Please show how

Answers

Answer:

-1/4 (d+1)< 2

(d+1) × -1 < 2×4

(d+1) × -1 < 8

-d - 1 < 8

-d < 8 + 1

-d < 9

d > -9

d = { -8, -7, -6....., 0, 1, 2, 3, 4,....}

Step-by-step explanation:

brainliest plz

There are 2304 students sitting in the auditorium in such a way that each row contains as many students as the number of rows. How many rows are there in the auditorium? ​

Answers

Answer:

48

Step-by-step explanation:

[tex]\sqrt{2304}[/tex] = 48 * 48

To have the same number of rows and students, it shall be each row contains 48 students and 48 rows overall

2304 is a perfect square . So if you know that 48 x 48 is 2304 . Then you would figure out that there are 48 rows with 48 students in each row .
The answer is : 48 rows in the auditorium

In a class of 25 students; 15 students like Mathematics, 6 like English and 4

like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.

Help plz
​

Answers

1/2 because 25 out of 50 students like math
25/50 = 1/2

Answer:

3/5

Step-by-step explanation:

we got 15 students who like math in 25 student

the fraction is 15 over 25 , 15/25 , when you simplify by 5 the simplest form gonna be 3 over 5, 3/5

I will give you brainliest if you solve the math question

Answers

Answer:

y = 50, x = 74

Step-by-step explanation:

the total degrees must equal 180. In the left triangle, we are given 80 as in of them. 180-80=100 degrees left in the triangle there are two equal angles left, so we divide 100/2 and get 50, so y=50. In the triangle on the right, there are two equal angles of 53 degrees. So 53x2=106. 180-106= 74 degrees left. x is the only angle left, so x=72

is -3.625 a irrational number

Answers

No it’s not. Irrational numbers are numbers which cannot be expressed as fraction of two integers and have a decimal/fractional segment that recurs.

please help meh i dont know the answer

Answers

Answer: 11

He already had 220 so subtract that from how much the thing costs.

499 - 220 = 279

He gets 25 for every weekend so divide 279 by 25

279 divided by 25 = 11.16

Round it to 11.

I think that’s right, it’s been awhile since I’ve done math like this

please help (view screenshot)

Answers

Dleekel elwlwe wlwowwlw elwlwmwmqqowlle wowlwlwmlw

Ashley went to a store and bought 3 items. Each item cost $21. How much did she spend

Answers

Answer:

$63

Step-by-step explanation:

it takes 2/3 of an hour to paint 2/5 of a room

Answers

Answer:

1 and 2/3 hours or 5/3 hours

Step-by-step explanation

1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours  and it'd be the whole room

I need help please
And thank you

Answers

Answer:

-1, 3, and 5

Step-by-step explanation:

When mapping a function the inputs (x), the oval to the left, is the domain. The oval to the right, the output, is the range.

What is the domain of f?

Answers

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

dbtnjjj5ygjhts2hjuuujjhjj​

Answers

Answer:

thanks for the points........

Answer:

wt f ok?

Step-by-step explanation:

Find the unknown sizes of angles:​

Answers

X=92

X+Y=180

Y=180-92

Y=88

Z=Y=88

:)

Step-by-step explanation:

We have,

x = 92 ( vertically opposite angles) 92 + y = 180 { linear pair}

So that ,

y = 180-92y = 88°

And ,

y = z ( VOA) z = 88°

what is the slope of the line?

Answers

Answer:

Slope = -3

Step-by-step explanation:

From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3

1. Find two points on the line:
(-1, 0) and (0, -3)

2. Calculate the slope

slope = change in y / change in x

0 - -3 = 3
-1 - 0 = -1
3 / -1 = -3

The slope is -3

Find the value of x.

Answers

Answer is 23 I’m pretty sure
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