Final answer to the problem
$\frac{x-x\sin\left(x\right)^2}{\cos\left(x\right)^4+\sin\left(x\right)^4+1}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
$\frac{x\left(1-\sin\left(x\right)^2\right)}{\cos\left(x\right)^4+\sin\left(x\right)^4+1}$
Why is 1 - sin(x)^2 = cos(x)^2 ?
2
Multiply the single term $x$ by each term of the polynomial $\left(1-\sin\left(x\right)^2\right)$
$\frac{x-x\sin\left(x\right)^2}{\cos\left(x\right)^4+\sin\left(x\right)^4+1}$
Final answer to the problem
$\frac{x-x\sin\left(x\right)^2}{\cos\left(x\right)^4+\sin\left(x\right)^4+1}$