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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Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{1-\sin\left(x\right)^2}{1-\sin\left(x\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (cos(x)^2)/(1-sin(x)). Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Factor the difference of squares 1-\sin\left(x\right)^2 as the product of two conjugated binomials. Simplify the fraction \frac{\left(1+\sin\left(x\right)\right)\left(1-\sin\left(x\right)\right)}{1-\sin\left(x\right)} by 1-\sin\left(x\right). Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\tan\left(\theta \right)}{\sqrt{1+\tan\left(\theta \right)^2}}.