If sin(θ) = -1/√2, find sin2(θ). (Recall that sin2(θ) means (sin(θ))2.)
sin2(θ) =
You mean sin^2 theta I think
Please use ^ for "to the power"
(-1/sqrt 2)(-1/sqrt 2) = 1/2
To find sin2(θ), we need to square the value of sin(θ).
Given sin(θ) = -1/√2, let's compute sin2(θ):
sin2(θ) = (sin(θ))2
= (-1/√2)2 [Replacing sin(θ) with its given value]
= (-1/√2) × (-1/√2) [Squaring the value]
= 1/2
Therefore, sin2(θ) = 1/2.