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If tan^(-1)(cottheta)=2\ theta , then th...

If `tan^(-1)(cottheta)=2\ theta` , then `theta=` `+-pi/3` (b) `+-pi/4` (c) `+-pi/6` (d) none of these

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To solve the equation \( \tan^{-1}(\cot \theta) = 2\theta \), we will follow these steps: ### Step 1: Apply the tangent function to both sides We start by taking the tangent of both sides of the equation: \[ \tan(\tan^{-1}(\cot \theta)) = \tan(2\theta) \] This simplifies to: ...
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