Question

If tan $\theta$ = $\frac{-4}{3}$ then sin$\theta$ is

• A.
• B.
• C.
• D.

Answer 1

Answer: (A), (B)

The correct options are
A

B

Solution: The negative value of tan $\theta$ implies that $\theta$ belongs to II or IV quadrant.

If $\theta$ lies in second quadrant,

Sin$\theta$ must be positive

Sin$\theta$ = $\frac{4}{5}$

If $\theta$ lies in IV quadrant

Sin $\theta$ should be negative

Sin$\theta$ = $\frac{-4}{5}$

Hence, Both A and B are correct options.