Question

simplify
(sin x - cos x )^2

Answer 1

Distribute:
\[\LARGE (sinx-cosx)(sinx-cosx)\]

Answer 2

sin^2x-sinxcosx-cosc sinx +cos^2x

Answer 3

Correct.

Answer 4

Alright, now keep going

Answer 5

sin^2x+cos^2x

Answer 6

yes, and what does that become?

Answer 7

1

Answer 8

Now combine the remaining terms

Answer 9

how

Answer 10

Well you have this left:
\[\LARGE 1-sinxcosx-sinxcosx\]

Answer 11

If it helps, think of the sinxcosx as x's

Answer 12

So:
1-x-x

Answer 13

:)

Answer 14

S what is your final annswer?

Answer 15

yes

Answer 16

When we combine them, we get:
1-2sinxcosx, and 2sinxcos=sin(2x)
So final answer:
\[\LARGE 1-\sin(2x)\]

Answer 17

thank you so so much :)

Answer 18

Yup!

Answer 19

btw:
\[\LARGE \mathbb{\color{#00FFCC}{WELCOME~TO~OPENSTUDY}} {\ddot\smile} \]