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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 tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Simplify the fraction \frac{\frac{\sin\left(x\right)}{\cos\left(x\right)}}{\frac{1}{\cos\left(x\right)}}.