Answer:
sin(θ) = - 0.35355
Step-by-step explanation:
The second condition is
270 degrees<theta<360 degrees
cos(2*theta) = 3/4
And we know the relation
cos(2*θ)=1-2sin^2(θ)
This means that,
sin^2(θ) = 0.5*(1-cos(2*θ))
sin(θ) = ± √(0.5*(1-cos(2*θ)))
sin(θ) = ± √ (0.125)
sin(θ) = ± 0.35355
But we are in the 4th quadrant.
This means that the sine is negative.
sin(θ) = - 0.35355
