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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Apply the trigonometric identity: $\sin\left(\theta \right)$$=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}$
Learn how to solve problems step by step online.
$\frac{\left(\frac{\sqrt{\sec\left(x\right)^2-1}}{\sec\left(x\right)}\right)^2}{1+\cos\left(x\right)}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (sin(x)^2)/(1+cos(x)). Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Divide fractions \frac{\frac{\sec\left(x\right)^2-1}{\sec\left(x\right)^2}}{1+\cos\left(x\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Multiply the single term \sec\left(x\right)^2 by each term of the polynomial \left(1+\cos\left(x\right)\right).
