Question

If $\cos \theta =\frac{2}{21}$ and $\sin \theta =\frac{6}{7}$, what is the value of $\tan \theta$?

• A. $4$
• B. $9$
• C. $6$
• D. $7$

Answer 1

Answer: (B)

$9$

$\tan \theta =\frac{\sin \theta }{\cos \theta }$ $=$ $\frac{\frac{6}{7}}{\frac{2}{21}}$

$=\frac{6}{7}\times \frac{21}{2}$

$\tan \theta =9$

So, option $B$ is correct.