Rowe Ayala
10/29/2023 · High School
Write \( \sin 2 \theta-\sin 4 \theta \) as a product of two functions Solution: \( \begin{aligned} \sin 2 \theta-\sin 4 \theta & =2 \cos \left(\frac{2 \theta+4 \theta}{2}\right) \sin \left(\frac{2 \theta-40}{2}\right) \\ & =2 \cos \frac{6 \theta}{2} \sin \left(\frac{-2 \theta}{2}\right) \\ & =2 \cos 3 \theta \sin (-\theta) \\ & =-2 \cos 3 \theta \sin \theta\end{aligned} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( 2\cos(3\theta)\sin(\theta) \).
Simplify the expression by following steps:
- step0: Solution:
\(2\cos\left(3\theta \right)\sin\left(\theta \right)\)
- step1: Rewrite the expression:
\(2\sin\left(\theta \right)\cos\left(3\theta \right)\)
The expression \( \sin 2 \theta - \sin 4 \theta \) can be written as a product of two functions as \( -2 \cos 3 \theta \sin \theta \).
Quick Answer
\( \sin 2 \theta - \sin 4 \theta = -2 \cos 3 \theta \sin \theta \).
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