Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Express in terms of Tangent
- 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 $\frac{1-\cos\left(x\right)^2}{\cos\left(x\right)^2}$ into $2$ simpler fractions with common denominator $\cos\left(x\right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{1}{\cos\left(x\right)^2}+\frac{-\cos\left(x\right)^2}{\cos\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1-cos(x)^2)/(cos(x)^2). Expand the fraction \frac{1-\cos\left(x\right)^2}{\cos\left(x\right)^2} into 2 simpler fractions with common denominator \cos\left(x\right)^2. Simplify the resulting fractions. Since \cos is the reciprocal of \sec, \frac{1}{\cos\left(x\right)^2} is equivalent to \sec\left(x\right)^2. Apply the trigonometric identity: \sec\left(\theta \right)^2-1=\tan\left(\theta \right)^2.