Math, asked by hitanshjain69, 10 months ago

(2cos^2theta -1)/(sin theta cos theta)=cot theta- tan theta
Prove that

Answers

Answered by fheqiego

6

Step-by-step explanation:

Solving LHS:

(2cos^2 theta - 1)/sin theta con theta

= cos^2 theta + cos^2 theta - 1/sin theta cos theta

= cos^2 theta - sin^2 theta/sin theta cos theta (since sin^2 theta + cos^2 theta = 1)

= ( cos theta / sin theta ) - ( sin theta/ cos theta )

= cot theta -tan theta

= RHS

Hence Proved

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