Question

Simplify (1 − sin x)(1 + sin x)

Answer 1

start by expanding the expression

Answer 2

or directly using
\(\Large (a+b)(a-b) = a^2-b^2\)
a=1
b= sin x

Answer 3

1^2 - sinx^2 or do I factor?

Answer 4

it would be sin^2x right?

Answer 5

no,
now you can you the famous trigonometric identity!
\(\Large \color{red}{\sin^2 x+\cos^2x =1}\)

Answer 6

so what will be \(1-\sin^2 x\)
from that ?

Answer 7

1 - (sin^2)x = (cos^2)x

Answer 8

I think

Answer 9

thats correct! :)
\(\Large \cos^2x\) is your final answer :)

Answer 10

thank you very much

Answer 11

welcome ^_^