Question

Cot^2 theta - 1/sin^2 theta =-1

Answer 1

Hey friend

Here is your answer

TO PROVE :

cot²@-(1/sin²@)=-1

PROOF :

LHS:

=cot²@-(1/sin²@)

[using 1/sinA=cosecA]

=cot²@-cosec²@

= - (cosec²@-cot²@)

[using cosec²A-cot²A=1]

= -(1)

= -1

=RHS

HENCE, PROVED

HOPE THIS HELPS YOU ☺