Question

Prove that :cot theta - tan theta = 2 cos^2 theta-1/sin theta cos theta ...guys please dont answer for the sake of coins ..answer for the sake of helping others...

Answer 1

LHS =cot 0 -tan 0 ;                            

writing it in terms of sin and cos we have ;

cos 0/sin 0 - sin 0 /cos 0

cos sq. 0 -sin  sq . 0/ sin 0 * cos 0

cos sq A + (- sin sq 0)/sin A cos A      

[ by the identity sin sq 0 = cos sq 0=1]

cos sq A =(cos sq A - 1)/sinA cos A

2cos sq A-1 /sin A cos A

=RHS

hence proved

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