Question

Write the equation for the inverse of the function y=cos2x

Answer 1

the answer is basically A

Answer 2

we are given

`y=cos(2x)`

Since, we have to find inverse function

so, we will use following steps

step-1:

Set y=f(x)

It is already there

step-2:

Switch x and y

`x=cos(2y)`

step-3:

Solve for y

`x=cos(2y)`

we can take cos^-1 both sides

`cos^(-1)(x)=cos^(-1)(cos(2y))`

now, we can simplify it

`cos^(-1)(x)=2y`

Divide both sides by 2

`y=(cos^(-1)(x))/(2)`

so, option-D........Answer