Question

sinx + cosx = (sinx/(1-cotx)) - (cosx/(tanx-1)) I'm supposed to balance the equations but i'm stuck... help please :

Answer 1

\[\frac{\sin x}{1-\frac{\cos x}{\sin x}}-\frac{\cos x}{\frac{\sin x}{\cos x}-1}\]

Answer 2

\[\frac{\sin ^2x}{\sin x-\cos x}-\frac{\cos ^2x}{\sin x-\cos x}\]

Answer 3

\[\frac{\sin ^2x-\cos ^2x}{\sin x-\cos x}=\frac{(\sin x-\cos x)(\sin x+\cos x)}{\sin x-\cos x}\]

Answer 4

\[\sin x+\cos x\]

Answer 5

And so now the right side is the same as the left side and the identity is proved.

Answer 6

thank you!

Answer 7

yw

Answer 8

now which one do i give the best response lol