Question

If $\cot \left(\theta \right)=\frac{7}{8}$ evaluate ${\cot }^2\left(\mathrm{\theta }\right)$

Answer 1

Find the value of given trigonometric expression

$\begin{array}{rcl}{\cot }^2\left(\mathrm{\theta }\right)& =& {\left(\cot \left(\theta \right)\right)}^2\\ & =& {\left(\frac{7}{8}\right)}^2\\ & =& \frac{49}{64}\end{array}$

Hence the value of ${\cot }^2\left(\mathrm{\theta }\right)$ is $\frac{49}{64}$.