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Combine $1+\frac{1}{\cos\left(x\right)}$ in a single fraction
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$\frac{1+\frac{-1}{\cos\left(x\right)}}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}}$
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. Applying the trigonometric identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Divide fractions \frac{1-\sec\left(x\right)}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Multiply the single term \cos\left(x\right) by each term of the polynomial \left(1-\sec\left(x\right)\right).