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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If cos⁡A3=cos⁡B4=15,   −π2<A<0,   −π2<B<0\frac{{\cos A}}{3} = \frac{{\cos B}}{4} = \frac{1}{5},\;\, - \frac{\pi }{2} < A < 0,\,\; - \frac{\pi }{2} < B < 0 then the value of 2sin⁡A+4sin⁡B2\sin A + 4\sin B is

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Correct option: C
−4- 4
Option C (-4) is correct because after finding the values of sin A and sin B in the fourth quadrant, substituting them into the expression gives -4.

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