Question

If $\cos \theta =\frac{14}{4}$ and $\sin \theta$ $=$ $\frac{8}{3}$, what is the value of $\cot \theta$?

• A. $\frac{11}{16}$
• B. $\frac{13}{16}$
• C. $\frac{16}{21}$
• D. $\frac{21}{16}$

Answer 1

The correct option is D $\frac{21}{16}$

$\cot \theta$ $=$ $\frac{\cos \theta }{\sin \theta }$ $=$ $\frac{\frac{14}{4}}{\frac{8}{3}}$

$=\frac{14}{4}\times \frac{3}{4}$

$\cot \theta =\frac{21}{16}$

So, option $D$ is correct.