Question Detail

MTH 102 Parametric Equations Objective Question

Question

Find \( dy/dx \) for \( x = \sin t, y = \cos 2t \).
Options
A \( -4\sin t \)
Correct Answer
B \( -2\sin t \)
C \( -4\cos t \)
D \( 2\sin t \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( dy/dt = -2\sin 2t = -4\sin t \cos t ). ( dx/dt = \cos t ). Result is ( -4\sin t ).

Hint

Use double angle identity for \( \sin 2t \) before dividing derivatives.

Question Info