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Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$
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$\frac{1+\frac{\sin\left(x\right)}{\cos\left(x\right)}}{1+\cot\left(x\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1+tan(x))/(1+cot(x)). 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. Rewrite 1+\cot\left(x\right) in terms of sine and cosine functions. Simplify the fraction \frac{\frac{\cos\left(x\right)+\sin\left(x\right)}{\cos\left(x\right)}}{\frac{\sin\left(x\right)+\cos\left(x\right)}{\sin\left(x\right)}}.