- #1

bonfire09

- 249

- 0

## Homework Statement

Sketch the regions enclosed by the given curves.

y = 3 cos 6x, y = 3 sin 12x, x = 0, x = π/12

Find the area as well.

## Homework Equations

The sketch of the curve is given too which I uploaded.

## The Attempt at a Solution

Trouble finding intersection points

3cos(6x)= 3sin(12x)

cos(6x)=sin(2*6x)

cos(6x)=2sin(6x)cos(6x)

0=cos(6x)(2sin(6x)-1)

0=2sin(6x)-1

sin(6x)=1/2

6x=sin^-1(1/2)

x=(sin^-1(1/2))/6

Then I am not sure what to do from here.