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enyata [817]
3 years ago
13

What is the inverse of y=pi/2+sin x​

Mathematics
2 answers:
I am Lyosha [343]3 years ago
7 0

Answer:

what that guy said

Step-by-step explanation:

Alekssandra [29.7K]3 years ago
6 0

Answer:

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

Step-by-step explanation:

The given function is

y=\frac{\pi}{2}+\sin x

To find the inverse of this function, we interchange x and y.

x=\frac{\pi}{2}+\sin y

we now solve for y.

x-\frac{\pi}{2}=\sin y

Take the sine inverse of both sides to obtain;

\sin ^{-1}(x-\frac{\pi}{2})=y

Hence the inverse of the given function is;

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

where \frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1

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The side of a square measures 3mn^2. What is the area of the square if m=4 and n= -2
Effectus [21]
Your question was wrong. I had to watch the photo.

-2²=4
4(4)=16
16(3)=48
48²=2304


When I read your text I though this:
4(-2)=-8
-8(3)=-24
-24²=576
576²=331 776

4 0
3 years ago
The Fairview High School community of 1854 students and 58 teachers attended a special performance of a play at a local theatre.
Bumek [7]

Answer:

a) yes, as the number of seats (2352) is larger than the total audience (1912)

b) 440 empty seats

Step-by-step explanation:

a) total number of seats = number of rows x number of seats in each row

total number of seats = 49 x 48

total number of seats = 2352 seats

total audience = 1854 students + 58 teachers

total audience = 1912 people

b) empty seats = total number of seats - total audience

empty seats = 2352 - 1912

empty seats = 440

8 0
3 years ago
Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balanc
lara31 [8.8K]
So this problem can be solve using the formula:
F = P(1+i)^t
Where F is the balance account after t years
P is money deposited
i is the fraction interest rate  
F = 3500 (1+0.35)^t
<span>F = 3500 (1.35)^t is the function equation represents the balance of the account after t years</span>
5 0
3 years ago
SOMEONE PLS HELP :( I WILL CHOOSE BRAINLIEST!!!
Nikolay [14]

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

y - intercept b = 1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

y = 1/3 x + 1

-> 3y = x + 3

-> x -3y = - 3

This is the required equation of line.

7 0
2 years ago
What is the approximate area of the shaded sector in the circle shown below?
Anton [14]

Answer:

The approximate area is A) 5.09cm²

Step-by-step explanation:

Area of a Circle = πr²

r = 1.8

Plug in our values

π(1.8cm²)

Evaluate the area of the entire circle

a = π(1.8cm²)

a = π(3.24cm)

a = 10.179cm²

Area of a sector, with the area of the circle of the sector being a = theta/360 * a

Evaluate the area of the sector

180/360*10.719cm²

0.5 * 10.179cm²

5.0895cm²

Round the value up

5.09cm²

3 0
2 years ago
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