If tan θ=-(4/3), then sin θ is

Question

If tan θ=-(4/3), then sin θ is (A) -(4/5) but not (4/5) (B) -(4/5) or (4/5) (C) -(4/5) but not -(4/5) (D) None of the above

Tardigrade Admin · Accepted Answer

Since, tan θ < 0. ∴ Angle θ text is either in the second or fourth quadrant. Then, sin θ > 0 or < 0 ∴ sin θ may be (4/5) or -(4/5)

Q. If $t an θ = - \frac{4}{3},$ then $s in θ$ is