Vault Of Euclid

Derivative of a Parametric Circle

Parametric equations and vector functions warmup

Find \(\frac{dy}{dx}\) for \(x = \sin(t), y = \cos(t)\).
parametric-equationsderivativestrigonometric-functionschain-rulecalculus-ifind-derivativesinecosinetangent

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What this problem tests

Tests the ability to apply the formula for the derivative of a parametric curve and basic trigonometric derivatives.

This is a standard introductory problem in calculus for learning how to differentiate parametric equations.

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