1.

\operatorname st \theta - \operatorname tan \theta = \frac 2 \operatorname cos ^ 2 \theta - 1 \operatorname sin \theta \operatorname cos \theta

Answer»

Let theta = xLHS:=cot x - tan x=cos x/sin x - sin x/cos x=(cos^2 x - sin^2 x)/sin x.cos x=[cos^2 x - (1 - cos^2 x)] / sin x. cos x= 2cos^2 x - 1/sin x. cos x= RHS

Hence proved



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