If (\cos\theta=\frac{5}{11}) and (\tan\theta\lt0), then the... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If $\cos\theta=\frac{5}{11}$ and $\tan\theta\lt0$ , then the value of $\sin\theta$ is equal to

A

$\frac{8\sqrt6}{11}$

B

$\frac{-8\sqrt6}{11}$

C

$\frac{4\sqrt6}{11}$

D

$\frac{-4\sqrt6}{11}$

E

$\frac{6}{11}$

Answer

$\frac{-4\sqrt6}{11}$

Explanation

Solution

The correct option is (D) : $\frac{-4\sqrt6}{11}$