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Step-by-step Solution
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I. Express the LHS in terms of sine and cosine and simplify
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Learn how to solve problems step by step online. Prove the trigonometric identity sin(x)/(1+cos(x))=(1-cos(x))/sin(x). section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). Multiply and divide the fraction \frac{\sin\left(x\right)}{1+\cos\left(x\right)} by the conjugate of it's denominator 1+\cos\left(x\right). Multiplying fractions \frac{\sin\left(x\right)}{1+\cos\left(x\right)} \times \frac{1-\cos\left(x\right)}{1-\cos\left(x\right)}.