Question

Rewrite with only sin x and cos x.

sin 2x - cos 2x


A. 2 sin^2 x - 2 sin x cos x + 1

B. 2 sin x

C. 2 sin^2 x + 2 sin x cos x - 1

D. 2 sin^2 x - 2 sin x cos x - 1

Answer 1

The double angle identities are:
\[\sin 2x=2\sin x \cos x\]

Answer 2

\[\cos 2x=\cos ^2x-\sin ^2x\]

Answer 3

\[\cos 2x=2\cos ^2x-1\]

Answer 4

\[\cos 2x=1-\sin ^2x\]

Answer 5

Use those to get one of your choices.

Answer 6

or you could find the least common mulitiple of the problem and go from there, if you don't know how to do the other way

Answer 7

last common multiple problem

Answer 8

is the lcd 2x?

Answer 9

you would find the LCM of sin2x and of cos2x

Answer 10

is it A?

Answer 11

@Mertsj ?

Answer 12

No it is NOT A