If . Prove that…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

If xsin⁡(θ+y)+sin⁡a⋅cos⁡(θ+y)=0x \sin(\theta + y) + \sin a \cdot \cos(\theta + y) = 0 . Prove that dydx=sin⁡2(θ+y)sin⁡a\frac{dy}{dx} = \frac{\sin^2(\theta + y)}{\sin a} .

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