Find the value for sin(θ) if the following conditions hold: cos(2 theta) = 3/4 and 270 degrees

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

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step-by-step explanation: