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Starting from the left-hand side (LHS) of the identity
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$\frac{\sec\left(x\right)+\csc\left(x\right)}{1+\tan\left(x\right)}$
Learn how to solve problems step by step online. Prove the trigonometric identity (sec(x)+csc(x))/(1+tan(x))=csc(x). Starting from the left-hand side (LHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator.