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 tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$
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$\frac{1+\frac{-\sin\left(x\right)}{\cos\left(x\right)}}{1+\frac{\sin\left(x\right)}{\cos\left(x\right)}}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (1-tan(x))/(1+tan(x)). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Combine 1+\frac{\sin\left(x\right)}{\cos\left(x\right)} in a single fraction. Divide fractions \frac{1+\frac{-\sin\left(x\right)}{\cos\left(x\right)}}{\frac{\sin\left(x\right)+\cos\left(x\right)}{\cos\left(x\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}. Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right).
