Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Express in terms of Secant
- 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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Multiply the single term $\sin\left(a\right)$ by each term of the polynomial $\left(1-\sin\left(a\right)\right)$
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$\frac{\cos\left(a\right)^2}{\sin\left(a\right)-\sin\left(a\right)^2}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (cos(a)^2)/(sin(a)(1-sin(a))). Multiply the single term \sin\left(a\right) by each term of the polynomial \left(1-\sin\left(a\right)\right). Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}, where x=a. Combine \frac{\sqrt{\sec\left(a\right)^2-1}}{\sec\left(a\right)}-\sin\left(a\right)^2 in a single fraction. Divide fractions \frac{\cos\left(a\right)^2}{\frac{\sqrt{\sec\left(a\right)^2-1}-\sin\left(a\right)^2\sec\left(a\right)}{\sec\left(a\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.