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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
The general value of θ\theta,obtained from the equation cos⁡2θ=sin⁡α\cos 2 \theta=\sin \alpha, is
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Correct option: A
θ=nπ±(π4−α2)\theta=n \pi \pm\left(\frac{\pi}{4}-\frac{\alpha}{2}\right)
Option A (θ=nπ±(π4−α2)\theta=n \pi \pm\left(\frac{{\pi}}{{4}}-\frac{{\alpha}}{{2}}\right)) is correct because it is derived by converting sine to cosine and applying the general solution formula.

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