If (tan $\theta$ + cot $\theta$) = 5 then (tan2$\theta$ + cot2$\theta$) = ?

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KollegeApply · Accepted Answer

23 Explanation: (tan $\theta$ + cot $\theta$)2 = 52 $\Rightarrow$ tan2$\theta$ + cot2$\theta$ + 2 tan $\theta$ cot $\theta$ = 25 $\Rightarrow$ tan2$\theta$ + cot2$\theta$ + 2 = 25 $\Rightarrow$ tan2$\theta$ + cot2$\theta$ = 23

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