Question

Prove that cot Theta - tan theta = 2cos²theta -1 / sin theta cos theta

Answer 1

Answer:

Step-by-step explanation:

let solve L.H.S

cot 0 - tan 0

1/tan 0 -  tan 0

cos 0/sin 0 - sin 0/ cos 0

cross multipication

cos^2 0 - sin^2 0/sin 0 * cos 0

cos ^2 0 +(-sin^2 0)/sin 0 * cos  0

cos ^2 0 +cos ^2 0 - 1/ sin 0 cos 0

2 cos ^2 0 - 1/sin 0 cos 0

Hence proved