If tanx 512 and x is in the 2nd quadrant find sin2x show me

If tanx= -5/12 and x is in the 2nd quadrant. find sin2x ? show me how to solve ?

A) 10/13

B) 120/169

C) 0

D) -120/169

Solution

x is in second quadrant then sin is positive and cos is nagative,

now,

tanx = -5/12

then sinx = 5/13

cos x = -12/13

sin 2x = 2sinx cosx

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

If tanx= -5/12 and x is in the 2nd quadrant. find sin2x ? show me how to solve ? A) 10/13 B) 120/169 C) 0 D) -120/169Solutionx is in second quadrant then sin is

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