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Expand the fraction $\frac{\tan\left(x\right)+\cot\left(x\right)}{\sec\left(x\right)}$ into $2$ simpler fractions with common denominator $\sec\left(x\right)$
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$\frac{\tan\left(x\right)}{\sec\left(x\right)}+\frac{\cot\left(x\right)}{\sec\left(x\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (tan(x)+cot(x))/sec(x). Expand the fraction \frac{\tan\left(x\right)+\cot\left(x\right)}{\sec\left(x\right)} into 2 simpler fractions with common denominator \sec\left(x\right). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Divide fractions \frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\sec\left(x\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Applying the trigonometric identity: \sin\left(\theta \right)\sec\left(\theta \right) = \tan\left(\theta \right).