Question

If tan θ =-4/3, then sinθ is

(A) -4/5 but not 4/5

(B) -4/5 or 4/5

(C) 4/5 but not -4/5

(D) None of these

Answer 1

Correct choice is B.

Since tan θ = -4/3 is negative, θ lies either in second quadrant or in fourth quadrant. Thus sin θ =4/5 if θ lies in the second quadrant or sin θ = -4/5, if θ lies in the fourth quadrant