If y= cot − 1 ( cos 2 θ ) − tan − 1 ( cos 2 θ ) , with cos 2 θ ≥ 0 , find sin y.

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MathematicsInverse Trigonometric FunctionsProperties of ITFMedium2 minQB

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If y= $cot^{- 1} (cos 2 θ) - tan^{- 1} (cos 2 θ)$ , with $cos 2 θ \geq 0$ , find sin y.

Answer:

Solution:

With t²= $cos 2 θ$ , sin y=(1-t²)/(1+t²)=(1- $cos 2 θ$ )/(1+ $cos 2 θ$ )=tan²θ.

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Properties of ITF

⏱ 2mℹ️ Source: QB

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