Question Detail
Question
Given that x = a sin t, y = a cos t, find y' (dy/dx).
Correct Answer
Option A is the correct answer.
Detailed Explanation
To find dy/dx for parametric equations, we use the chain rule: dy/dx = (dy/dt) / (dx/dt).Given x = a sin t, so dx/dt = a cos t.Given y = a cos t, so dy/dt = -a sin t.Therefore, y' = dy/dx = (-a sin t) / (a cos t) = -tan t.
Hint
Remember the chain rule for parametric differentiation: dy/dx = (dy/dt) / (dx/dt).