Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Expand: \(\sin 3\theta\)
Options
A \(3\sin\theta - 4\sin^3\theta\)
Correct Answer
B \(\cos(3\theta + i\sin\theta)\)
C \(\sin3\theta + i\cos3\theta\)
D \(\cos3\theta - 3i\sin\theta\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

The triple-angle formula for sine is sin3θ = 3sinθ - 4sin³θ.

Hint

Recall standard trigonometric identities.

Question Info