Math  /  Trigonometry

QuestionWrite the expression cos4θsinθsin4θcosθ\cos 4 \theta \sin \theta-\sin 4 \theta \cos \theta as a single sine or cosine.

Studdy Solution
Simplify the expression inside the sine function:
4θθ=3θ 4\theta - \theta = 3\theta
Thus, the expression simplifies to:
sin(3θ) \sin(3\theta)
The expression cos4θsinθsin4θcosθ\cos 4\theta \sin \theta - \sin 4\theta \cos \theta is equivalent to:
sin(3θ) \sin(3\theta)

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