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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If m=cosec⁡θ−sin⁡θm=\operatorname{cosec} \theta-\sin \theta and n=sec⁡θ−cos⁡θn=\sec \theta-\cos \theta, then m2/3+n2/3=\mathrm{m}^{2 / 3}+\mathrm{n}^{2 / 3}=
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Correct option: A
(mn)−2/3(\mathrm{mn})^{-2 / 3}
Option C ((mn)−2/3(mn)^{-2 / 3}) is correct because simplifying the expressions for m and n and then substituting them into the target expression yields the result.

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