Final answer to the problem
$\tan\left(90-x\right)\cos\left(90-x\right)-\cos\left(x\right)$
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Step-by-step Solution
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- 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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1
Use the identity: $\sin(\frac{\pi}{2}\pm x)=cos(x)$
$\tan\left(90-x\right)\cos\left(90-x\right)-\cos\left(x\right)$
Final answer to the problem
$\tan\left(90-x\right)\cos\left(90-x\right)-\cos\left(x\right)$
