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Combine $1+\frac{1}{\cos\left(x\right)}$ in a single fraction
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$\frac{\left(1-\cos\left(x\right)\right)\frac{1+\cos\left(x\right)}{\cos\left(x\right)}}{\frac{\sin\left(x\right)}{\cos\left(x\right)}}$
Learn how to solve problems step by step online. Simplify the expression ((1-cos(x))(1+1/cos(x)))/(sin(x)/cos(x)). Combine 1+\frac{1}{\cos\left(x\right)} in a single fraction. Divide fractions \frac{\left(1-\cos\left(x\right)\right)\frac{1+\cos\left(x\right)}{\cos\left(x\right)}}{\frac{\sin\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}. Solve the product of difference of squares \left(1+\cos\left(x\right)\right)\left(1-\cos\left(x\right)\right). Applying the trigonometric identity: 1-\cos\left(\theta \right)^2 = \sin\left(\theta \right)^2.