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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If tan⁡236∘+k(sin⁡18∘+cos⁡36∘)=5\tan ^2 36^{\circ}+k\left(\sin 18^{\circ}+\cos 36^{\circ}\right)=5, then the value of kk is
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Correct option: C
4
The correct answer is C (4) because substituting the known values of sin⁡18∘\sin 18^{\circ} and cos⁡36∘\cos 36^{\circ} into the equation and solving for kk yields k=4k=4.

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