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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
Suppose 0<t<π0 < t < \pi and sin⁡  t+cos⁡  t=15\sin \,\,t + \cos \,\,t = \frac{1}{5}. Then, tan⁡  t2\tan \,\,\frac{t}{2} is equal to
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Correct option: A
2
Option A, 2, is correct because it is the value of tan⁡t2\tan \frac{t}{2} obtained by substituting the given expression into the trigonometric identity and solving the resulting quadratic equation.

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