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Starting from the right-hand side (RHS) of the identity
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$\frac{\cos\left(x\right)}{1+\sin\left(x\right)}$
Learn how to solve problems step by step online. Prove the trigonometric identity sec(x)-tan(x)=cos(x)/(1+sin(x)). Starting from the right-hand side (RHS) of the identity. Multiply and divide the fraction \frac{\cos\left(x\right)}{1+\sin\left(x\right)} by the conjugate of it's denominator . Apply the trigonometric identity: 1-\sin\left(\theta \right)^2=\cos\left(\theta \right)^2. Simplify the fraction by \cos\left(x\right).