Question

If tan theta +cot theta=2, then find the value of tan^5+cot^5.

Answer 1

$\tan + \cot = 2 \\ \tan {}^{5} + \cot {}^{5} = ( \tan + \cot) {}^{5} \\ = 2 {}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = 32$

Answer 2

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