Question

cos (90-theta) cos theta / cot theta=1-cos square theta​

Answer 1

Answer:

For Proving,

Refer the attached picture.

Answer 2

On taking L.H.S. :

$\frac{ \cos(90 - \alpha ) \cos \alpha }{ \cot \alpha }$

$= > \frac{ \sin\alpha \cos \alpha }{ \cot \alpha } \\ \\ = > \frac{ \sin \alpha \cos \alpha }{ \frac{ \cos \alpha }{ \sin \alpha } } \\ \\ = > { \sin}^{2} \alpha = 1 - { \cos }^{2} \alpha = R.H.S.$

{ sin²A + cos²A = 1 }

HENCE PROVED ✔️✔️

@ItsChampion ✌️