Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

What is the equivalence of \(\cos 3\theta\)?
Options
A \(3\sin \theta - 4\sin^3 \theta\)
B \(\cos (3\theta + \sin \theta)\)
C \(\sin 3\theta 3\theta + i\cos 3\theta\)
D \(4\cos^3 \theta - 3\cos \theta\)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The triple-angle formula for cosine is cos(3θ) = 4 cos³ θ - 3 cos θ.

Hint

Recall the standard trigonometric identities for triple angles.

Question Info