Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Express in terms of Cosecant
- Find the derivative
- Integrate using basic integrals
- Verify if true (using algebra)
- Verify if true (using arithmetic)
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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Expand the fraction $\frac{\sec\left(x\right)-\cos\left(x\right)}{\tan\left(x\right)}$ into $2$ simpler fractions with common denominator $\tan\left(x\right)$
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$\frac{\sec\left(x\right)}{\tan\left(x\right)}+\frac{-\cos\left(x\right)}{\tan\left(x\right)}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (sec(x)-cos(x))/tan(x). Expand the fraction \frac{\sec\left(x\right)-\cos\left(x\right)}{\tan\left(x\right)} into 2 simpler fractions with common denominator \tan\left(x\right). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Simplify the fraction \frac{\frac{1}{\cos\left(x\right)}}{\frac{\sin\left(x\right)}{\cos\left(x\right)}}.