Question

Simplify (1 − sin x)(1 + sin x).

Answer 1

HI!!

Answer 2

Hello

Answer 3

multiply out you get
\[1-\sin^2(x)\]

Answer 4

then use a famous identity to rewrite it

Answer 5

Oh wow the first step was simple enough, but I'm not sure what you're talking about by a certain "famous identity"

Answer 6

the mother of all trig identities is
\[\cos^2(x)+\sin^2(x)=1\]
so
\[1-\sin^2(x)=\cos^2(x)\]

Answer 7

Aka Pythagorean Identity.

Answer 8

Okay, now I got it. Thank you very much! ^_^