Question

If tanx= -5/12 and x is in the 2nd quadrant, find sin2x.

A) 10/13
B) 120/169
C) 0
D) -120/169

Answer 1

sin 2x=2sinx cos x in the second quadrant sine is positive and cosine is negative so sin2x is negative.

Answer 2

from the figure sin x=5/13 and cos x=-12/13

Answer 3

this sin 2x=2*(5/13)*(-12/13)=-120/169

Answer 4

option D is correct

Answer 5

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