Question

If cot $\theta =\frac{7}{8}$, then the value of $ta{n}^2\theta$ equals to :

• A. $\frac{8}{7}$
• B. $\frac{49}{64}$
• C. $\frac{64}{49}$
• D. $\frac{7}{8}$

Answer 1

Answer: (C)

$\frac{64}{49}$

$\cot \theta =\frac{7}{8}$

$\Rightarrow \tan \theta =\frac{1}{\cot \theta }=\frac{8}{7}$

$\Rightarrow {\tan }^2\theta =\frac{64}{49}$

Hence, the correct option is (C)