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Apply the formula: $\frac{d}{dx}\left(\arccos\left(\theta \right)\right)$$=\frac{-1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right)$, where $x=\sin\left(x\right)$
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$\frac{-1}{\sqrt{1-\sin\left(x\right)^2}}\frac{d}{dx}\left(\sin\left(x\right)\right)$
Learn how to solve problems step by step online. d/dx(arccos(sin(x))). Apply the formula: \frac{d}{dx}\left(\arccos\left(\theta \right)\right)=\frac{-1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right), where x=\sin\left(x\right). Apply the trigonometric identity: \frac{d}{dx}\left(\sin\left(\theta \right)\right)=\cos\left(\theta \right). Apply the formula: a\frac{b}{x}=\frac{ab}{x}. Simplify the derivative.