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Question

Mathematics Question on Derivatives

The derivative dydx\frac{\mathrm dy}{\mathrm d x} ,if x=a(θsinθ),y=a(1+cosθ)x=a(\theta -sin\theta),y=a(1+cos\theta) is :

A

cosθ2cos \frac{\theta}{2}

B

cotθ2-cot \frac{\theta}{2}

C

cotθ2cot \frac{\theta}{2}

D

tanθ2tan \frac{\theta}{2}

Answer

cotθ2-cot \frac{\theta}{2}

Explanation

Solution

The correct option is (B): cotθ2-cot \frac{\theta}{2}