2. If tanθ = -(3)/(2) and (3π)/(2)≤θ≤ 2π, state the exact value of sin 2θ.

Name: 2. If tanθ = -(3)/(2) and (3π)/(2)≤θ≤ 2π, state the exact value of sin 2θ.
Uploaded: 2022-03-31T01:36:03-08:00
Duration: 2 min 31 s
Channel: Gregory Higby
Description: 2. If tanθ = -(3)/(2) and (3π)/(2)≤θ≤ 2π, state the exact value of sin 2θ.

Question

Gregory Higby · Accepted Answer

Step 1: Use the double angle identity for sine: sin(2θ) = 2sin(θ)cos(θ)

Question

2. If $\tan \theta = -\frac{3}{2}$ and $\frac{3\pi}{2} \le \theta \le 2\pi$, state the exact value of $\sin 2\theta$.

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