Final answer to the problem
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
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Applying the trigonometric identity: $\sin\left(\theta \right)^2-\cos\left(\theta \right)^2 = -\cos\left(2\theta \right)$
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$\frac{\tan\left(x\right)^2-\cot\left(x\right)^2}{-\cos\left(2x\right)}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (tan(x)^2-cot(x)^2)/(sin(x)^2-cos(x)^2). Applying the trigonometric identity: \sin\left(\theta \right)^2-\cos\left(\theta \right)^2 = -\cos\left(2\theta \right). Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2. Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors.
