Answer:
sin 2θ = -24/25
Step-by-step explanation:
see the below formula of sin x in terms of tan x
by substituting => -4/3 / ± √(16/9 + 1)
=> -4/3 / ± √(25/9)
=> -4/3 / ± 5/3
=> ± -4/5
=> ± 4/5
as theta is in second quadrant is in 2nd quadrant sin value is positive
so sin θ = 4/5 and cos θ = -3/5
now sin 2θ = 2 sinθcosθ
= 2 * 4/5 * -3/5
= -24/25
