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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
If sin⁡32∘=k\sin 32^{\circ}=k and cos⁡x=1−2k2;α,β\cos x=1-2 k^2 ; \alpha, \beta are the values of xx between 0∘0^{\circ} and 360∘360^{\circ} with α<β\alpha < \beta, then
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Correct option: C
β=4α+40∘\beta=4 \alpha+40^{\circ}
Option C (β=4α+40∘\beta=4 \alpha+40^{\circ}) is correct because by solving for x and substituting the values of alpha and beta, the equation holds true.

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