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Simplify the fraction $\frac{\sin\left(a\right)\cos\left(a\right)}{\cos\left(a\right)\left(\sin\left(a\right)-\sin\left(a\right)\cos\left(a\right)\right)}$ by $\cos\left(a\right)$
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$\frac{\sin\left(a\right)}{\sin\left(a\right)-\sin\left(a\right)\cos\left(a\right)}=\frac{\sin\left(a\right)}{1-\cos\left(a\right)}$
Learn how to solve problems step by step online. Solve the trigonometric equation (sin(a)cos(a))/(cos(a)(sin(a)-sin(a)cos(a)))=sin(a)/(1-cos(a)). Simplify the fraction \frac{\sin\left(a\right)\cos\left(a\right)}{\cos\left(a\right)\left(\sin\left(a\right)-\sin\left(a\right)\cos\left(a\right)\right)} by \cos\left(a\right). Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Multiply the fraction and term in - \left(\frac{1}{2}\right)\sin\left(2a\right). Inverting the equation.
