Question

Prove the identity
sinx/1+cosx=1-cosx/sinx

Answer 1

Multiply by the conjugate

Answer 2

\[Sinx \div1+cosx, Sinx/1+sinx/cosx, sinx*cosx+sinx/cosx\]

Answer 3

you haven't multiplied the numerator and denominator by the conjugate 1-cosx

Answer 4

\[\frac{ \sin x }{ 1+\cos x } \times \frac{ 1-\cos x }{ 1-\cos x }\]
\[= \frac{ \sin x(1-\cos x) }{(1^{2}-\cos ^{2}x) }\]
\[=\frac{ \sin x(1-\cos x) }{ \sin ^{2}x }=\frac{ (1-\cos x) }{ \sin x }\]