Prove the following with the help ofidentities.3. cos? + cos2 e cot? = – InterviewSolution

1.

Prove the following with the help ofidentities.3. cos? + cos2 e cot? = cot?.

Answer»

LHS: cos^2 theta + cos^2 theta.cot^2 theta

= cos^2 theta(1 + cot^2 theta)

= cos^2 theta. cosec^2 theta

[1 + cot^2 theta = cosec^2 theta]

= cos^2 theta/sin^2 theta

= cot^2 theta

= RHS

Hence proved

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