Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Expand the fraction $\frac{\cos\left(x\right)+\sin\left(x\right)}{\sin\left(x\right)}$ into $2$ simpler fractions with common denominator $\sin\left(x\right)$
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$\frac{\cos\left(x\right)+\sin\left(x\right)}{\sin\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (cos(x)+sin(x))/sin(x)=1+1/tan(x). Starting from the left-hand side (LHS) of the identity. Expand the fraction \frac{\cos\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. Apply the trigonometric identity: \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}=\cot\left(\theta \right).