Question

tan$\theta$ + cot$\theta$ = 2 then, tan^5$\theta$ + Cot^10$\theta$ = ?​

Answer 1

Correct Question:

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tan $\theta$ + Cot$\theta$ = 2 then, tan$^{5}$ + Cot$^{10}$$\theta$ = ?

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Solution:

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Given:

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tan $\theta$ + Cot$\theta$ = 2

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To find:

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tan$^{5}$ + Cot$^{10}$$\theta$

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Answer:

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tan$^{45°}$ = 1 ÷ Cot$^{45°}$

Now by putting values, we get

tan(1)$^{5}$ + Cot(1)$^{10}$ = 2.

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Thus, 2 is the required solution.