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Apply the trigonometric identity: $\tan\left(\theta \right)$$=\frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}$
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$\frac{1+\frac{-\sin\left(x\right)}{\cos\left(x\right)}}{1+\frac{\sin\left(x\right)}{\cos\left(x\right)}}$
Learn how to solve problems step by step online. (1-tan(x))/(1+tan(x)). Apply the trigonometric identity: \tan\left(\theta \right)=\frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}. Apply the formula: a+\frac{b}{c}=\frac{b+ac}{c}, where a=1, b=\sin\left(x\right), c=\cos\left(x\right), a+b/c=1+\frac{\sin\left(x\right)}{\cos\left(x\right)} and b/c=\frac{\sin\left(x\right)}{\cos\left(x\right)}. Apply the formula: \frac{a}{\frac{b}{c}}=\frac{ac}{b}, where a=1+\frac{-\sin\left(x\right)}{\cos\left(x\right)}, b=\sin\left(x\right)+\cos\left(x\right), c=\cos\left(x\right), a/b/c=\frac{1+\frac{-\sin\left(x\right)}{\cos\left(x\right)}}{\frac{\sin\left(x\right)+\cos\left(x\right)}{\cos\left(x\right)}} and b/c=\frac{\sin\left(x\right)+\cos\left(x\right)}{\cos\left(x\right)}. Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right).
