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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If π2<α<π,π<β<3π2;sin⁡α=1517\frac{\pi}{2} < \alpha < \pi, \pi < \beta < \frac{3 \pi}{2} ; \sin \alpha=\frac{15}{17} and tan⁡β=125\tan \beta=\frac{12}{5}, then the value of sin⁡(β−α)\sin (\beta-\alpha) is
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Correct option: D
171221\frac{171}{221}
The correct answer is 171221\frac{171}{221} because it is the result of applying the sine subtraction formula and using the given information to find the values of sine and cosine.

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