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Inverting the equation
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$\frac{\sin\left(x\right)-\cos\left(x\right)}{\sin\left(x\right)}=\frac{1+\tan\left(x\right)}{\tan\left(x\right)}$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(x)/(sin(x)-cos(x))=tan(x)/(1+tan(x)). Inverting the equation. Expand the fraction \frac{\sin\left(x\right)-\cos\left(x\right)}{\sin\left(x\right)} into 2 simpler fractions with common denominator \sin\left(x\right). Simplify the resulting fractions. Apply the trigonometric identity: \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}=\cot\left(\theta \right).