Final answer to the problem
$2\csc\left(2x\right)$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Factor the polynomial $\cos\left(x\right)-\cos\left(x\right)^3$ by it's greatest common factor (GCF): $\cos\left(x\right)$
$\frac{\sin\left(x\right)}{\cos\left(x\right)\left(1-\cos\left(x\right)^2\right)}$
Learn how to solve problems step by step online. Simplify the trigonometric expression sin(x)/(cos(x)-cos(x)^3). Factor the polynomial \cos\left(x\right)-\cos\left(x\right)^3 by it's greatest common factor (GCF): \cos\left(x\right). Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Simplify the fraction by \sin\left(x\right). Simplify \cos\left(x\right)\sin\left(x\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x).
Final answer to the problem
$2\csc\left(2x\right)$
