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Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$
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$2+\sec\left(x\right)\frac{-1}{\sin\left(x\right)}$
Learn how to solve problems step by step online. Simplify the trigonometric expression 2-sec(x)csc(x). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \sec\left(x\right). Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}. Divide fractions \frac{-\sec\left(x\right)}{\frac{\sqrt{\sec\left(x\right)^2-1}}{\sec\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}.