Question
If $\cot\theta=\frac{7}{8},$ evaluate:
$\cot^2\theta$

Answer

Given: $\cot\theta=\frac{7}{8}$
to evoluate: $\cot^\theta$
$\cot\theta=\frac{7}{8}$
Squaring on both sides,
We get,
$(\cot\theta)^2=\Big(\frac{7}{8}\Big)^2$
$\cot^2\theta=\frac{7^2}{8^2}$
$\cot^2=\frac{49}{64}$
$\cot^2\theta=\frac{49}{64}$

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