Question

(cos^2(x)-sin^2(x))/(sin(x) cos(x))

how to simplify into

2cos2x?

Answer 1

cos^2x-sin^2x= cos2x

Answer 2

cos^2(x)-sin^2(X)=cos(2x) It's and identity
2sin(x)cos(x)=sin2(x)
sin(x)cos(x)=sin(2x)/2

sooo 2cos(2x)/sin(2x)=2cot(2x)

I am guessing a wrong answer?

Answer 3

\[\frac{ \cos2x }{ sinxcosx}\]

Answer 4

you r right peter well done buddy

Answer 5

@Auxuris got it ??

Answer 6

hang on, i'm processing it

Answer 7

ok waitin

Answer 8

but if cos^2(x)-sin^2(X)=cos(2x) then how is 2cos(2x) obtained?

is it by flipping the sin(2x)/2 denominator?

Answer 9

if u will flip 2 will come in numerator

Answer 10

so
2 cos2x/sin2x

Answer 11

so in other words—yes, it is by flipping the sin(2x)/2 denominator.

Answer 12

thank you people :3

Answer 13

welcm :)