Question

Simplify (1 − sin x)(1 + sin x).

Answer 1

Well we get

\[\large 1 -sin(x) + sin(x) - sin^2(x)\]
\[\large 1 - sin^2(x)\]

Remember from the identity that \(\large sin^2(x) + cos^2(x) = 1\) to say that this is simplified down to

\[\large cos^2(x)\]

Answer 2

Thank you very much :)

Answer 3

Anytime :)