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Expand the fraction $\frac{\tan\left(x\right)-\sin\left(x\right)}{\sin\left(x\right)}$ into $2$ simpler fractions with common denominator $\sin\left(x\right)$
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$\frac{\tan\left(x\right)}{\sin\left(x\right)}+\frac{-\sin\left(x\right)}{\sin\left(x\right)}=\frac{\sec\left(x\right)}{1+\cos\left(x\right)}$
Learn how to solve definite integrals problems step by step online. Solve the trigonometric equation (tan(x)-sin(x))/sin(x)=sec(x)/(1+cos(x)). Expand the fraction \frac{\tan\left(x\right)-\sin\left(x\right)}{\sin\left(x\right)} into 2 simpler fractions with common denominator \sin\left(x\right). Simplify the resulting fractions. Simplify \frac{\tan\left(x\right)}{\sin\left(x\right)}. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.