Simplify the trigonometric expression $\frac{1+\frac{-1}{\cos\left(x\right)}}{1+\frac{1}{\cos\left(x\right)}}$

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$\frac{1+\frac{-1}{\cos\left(x\right)}}{\frac{1+1\cos\left(x\right)}{\cos\left(x\right)}}$

Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1+-1/cos(x))/(1+1/cos(x)). Combine 1+\frac{1}{\cos\left(x\right)} in a single fraction. Any expression multiplied by 1 is equal to itself. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. We can simplify the quotient of fractions \frac{\frac{\cos\left(x\right)-1}{\cos\left(x\right)}}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}} by inverting the second fraction and multiply both fractions.