Final answer to the problem
Step-by-step Solution
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- Choose an option
- 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 $\frac{\tan\left(x\right)+\cot\left(x\right)}{\csc\left(x\right)}$ into $2$ simpler fractions with common denominator $\csc\left(x\right)$
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$\frac{\tan\left(x\right)}{\csc\left(x\right)}+\frac{\cot\left(x\right)}{\csc\left(x\right)}$
Learn how to solve factorization problems step by step online. Simplify the trigonometric expression (tan(x)+cot(x))/csc(x). Expand the fraction \frac{\tan\left(x\right)+\cot\left(x\right)}{\csc\left(x\right)} into 2 simpler fractions with common denominator \csc\left(x\right). Simplify \frac{\cot\left(x\right)}{\csc\left(x\right)} using trigonometric identities. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Divide fractions \frac{\tan\left(x\right)}{\frac{1}{\sin\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}.
