Write the equation for the inverse of the function: y=sinx

a. y=arctanx

b. y=arcsinx

c. y=-sinx

d. y=pisinx

Please select the best answer from the choices provided

Step-by-step explanation:

Given the function y = sinx

The equation of its inverse can be gotten by first taking the arcsin of both sides as shown

arcsiny = arcsin(sinx)

The arcsin will cancel out the sin function at the right hand side to have;

arcsiny = x

x = arcsiny

Replacing the variable 'y' with x and 'x' in y in the resulting equation we have;

y = arcsinx

This gives the required inverse.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.