Question

Use the graph of y = sin2θ to find the value of sin 2θ for θ = pi over 4 radians.A continuous positive sine wave with a period of pi radians and an amplitude of 1.The curve has x-intercepts at every integer multiple of pi over 2. There are maximums of 1 at x equals pi over 4 and every pi interval after that. There are minimums of negative 1 at x equals 3 pi over 4 and every pi interval after that.(1 point)Responses–1. 0. 0.5. 1

Answer 1

The value of sin 2θ for θ = pi/4 radians can be found by substituting the given value of θ into the equation sin 2θ.

sin 2(pi/4) = sin (pi/2)

Using the unit circle, we know that sin(pi/2) = 1.

Therefore, sin 2(pi/4) = 1.

So, the value of sin 2θ for θ = pi/4 radians is 1.

The correct response is: 1.