Question

cot theta minus tan theta equals to 1 - 2 sin square theta upon sin theta into cos theta​

Answer 1

Step-by-step explanation:

Cot theta - tan theta

(Cos theta/Sin theta) - (Sin theta/Cos theta)

(Cos² theta - Sin² theta)/Sin theta*Cos theta

( 1 - Sin²theta - Sin²theta)/Sin theta*Cos theta

( 1 - 2Sin² theta )/ Sin theta* Cos theta

Hence proof

Answer 2

Answer:

Step-by-step explanation:

cott-tant=(1-2sin^2t)/sint*cost

LHS:

(cost/sint-sint/cost)=cos^2t-sin^2t/sintcost

=cos2t/sintcost

RHS:

1-2sin^2t/sintcost

=cos2t/sintcost

=LHS