Question

Solve the trigonometric identity...

Answer 1

\[\frac{ cosx }{ tanx (1-sinx )}=1+\frac{ 1 }{ sinx }\]

Answer 2

Wait, let me wash my hands and I will solve!!! :)

Answer 3

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

Answer 4

Now. Replace cos^2 with 1-sin^2. Factor, and reduce.

Answer 5

Can you do that?

Answer 6

I follow the 1st step but how does the numerator become cos^2?

Answer 7

Multiply numerator and denominator by cos

Answer 8

Ok thank you very much!

Answer 9

yw