Question

How do you solve: (1+sinx)(1+sin(-x)) ?

Answer 1

Please see below.

Explanation:

.

If you meant how do you simplify this:

`(1+sinx)(1+sin(-x))=(1+sinx)(1-sinx)=1-sin^2x=cos^2x`

If you meant to solve for `x` by setting it equal to `0`:

Within one period of `0 < x < 2pi`

`cos^2x=0, :. cosx=0, :. x=pi/2, (3pi)/2`