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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Apply the trigonometric identity: $\cot(x)=\frac{\cos(x)}{\sin(x)}$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{\tan\left(x\right)^2-\sin\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}-\cos\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (tan(x)^2-sin(x)^2)/(cot(x)^2-cos(x)^2). Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Combine \frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}-\cos\left(x\right)^2 in a single fraction. Divide fractions \frac{\tan\left(x\right)^2-\sin\left(x\right)^2}{\frac{\cos\left(x\right)^2-\cos\left(x\right)^2\sin\left(x\right)^2}{\sin\left(x\right)^2}} 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}. Factor the polynomial \cos\left(x\right)^2-\cos\left(x\right)^2\sin\left(x\right)^2 by it's greatest common factor (GCF): \cos\left(x\right)^2.