Final Answer
Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Rewrite $\frac{\sin\left(x\right)+\tan\left(x\right)}{\cot\left(x\right)+\csc\left(x\right)}$ in terms of sine and cosine functions
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$\frac{\sin\left(x\right)+\tan\left(x\right)}{\cot\left(x\right)+\csc\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sin(x)^2)/cos(x)=(sin(x)+tan(x))/(cot(x)+csc(x)). Starting from the right-hand side (RHS) of the identity. Rewrite \frac{\sin\left(x\right)+\tan\left(x\right)}{\cot\left(x\right)+\csc\left(x\right)} in terms of sine and cosine functions. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Simplify the fraction \frac{\frac{\sin\left(x\right)\cos\left(x\right)+\sin\left(x\right)}{\cos\left(x\right)}}{\frac{\cos\left(x\right)+1}{\sin\left(x\right)}}.