Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Factor by completing the square
- Product of Binomials with Common Term
- FOIL Method
- Find the integral
- Find the derivative
- Factor
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$
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$\left(1-2\cos\left(x\right)+\cos\left(x\right)^2\right)\left(\tan\left(x\right)^3-\sin\left(x\right)^3\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression (1-cos(x))^2(tan(x)^3-sin(x)^3). A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Multiply the single term \tan\left(x\right)^3-\sin\left(x\right)^3 by each term of the polynomial \left(1-2\cos\left(x\right)+\cos\left(x\right)^2\right). Multiply the single term -2\cos\left(x\right) by each term of the polynomial \left(\tan\left(x\right)^3-\sin\left(x\right)^3\right). Multiply the single term \cos\left(x\right)^2 by each term of the polynomial \left(\tan\left(x\right)^3-\sin\left(x\right)^3\right).