Question

How do you verify `(sin(theta)+cos(theta))^(2) + (sin(theta)-cos(theta))^(2)=2`?

Answer 1

See below

Explanation:

Left Side `=sin^2theta+2sin theta cos theta + cos^2 theta+sin^2theta-2sin theta cos theta + cos^2 theta`

`=(sin^2 theta +cos^2theta)+(sin^2theta+cos^2theta)`

`=1+1`

`=2`

=Right Side