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Question

Mathematics Question on Derivatives

If y=2cos2θ+cosθcos3θ+cos2θ+cosθ\frac{2\cos2\theta+\cos\theta}{\cos3\theta+\cos^2\theta+\cos\theta}, Then value of y''+y'+y is

A

secθ(1-tan3θ)

B

tanθ(sec3θ+2tan2θ)

C

secθ(2sec2θ+tanθ)

D

cotθ(sec3θ+2tanθ)

Answer

secθ(2sec2θ+tanθ)

Explanation

Solution

The Correct answer is option is (C) : secθ(2sec2θ+tanθ)