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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If sin⁡  (π4  cot⁡  θ)=cos⁡  (π4  tan⁡  θ)\sin \,\,\left( {\frac{\pi }{4}\,\,\cot \,\,\theta } \right) = \cos \,\,\left( {\frac{\pi }{4}\,\,\tan \,\,\theta } \right), then θ\theta is equal to
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Correct option: D
nπ  +  π4n\pi \,\, + \,\,\frac{\pi }{4}
Option D (516\frac{5}{16}) is correct because by using trigonometric identities and known values of sine functions, the expression simplifies to 516\frac{5}{16}.

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