What is cot theta + tan ^3 theta in terms of sintheta ?

1 Answer
P dilip_k
Mar 5, 2016

cottheta+tan^3theta
=costheta/sintheta+sin^3theta/cos^3theta
=(cos^4theta+sin^4theta)/(sintheta*cos^3theta
=((cos^2theta+sin^2theta)^2-2sin^2thetacos^2theta)/(sintheta(1-sin^2theta)^(3/2)
=(1-2sin^2theta(1-sin^2theta))/(sintheta(1-sin^2theta)^(3/2)

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