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Exercise

$\frac{cosx\left(2senx-1\right)}{senx}$

Step-by-step Solution

1

Apply the trigonometric identity: $\frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}$$=\cot\left(\theta \right)$

$\cot\left(x\right)\left(2\sin\left(x\right)-1\right)$
Why is cos(x)/sin(x) = cot(x) ?
2

Multiply the single term $\cot\left(x\right)$ by each term of the polynomial $\left(2\sin\left(x\right)-1\right)$

$2\sin\left(x\right)\cot\left(x\right)-\cot\left(x\right)$

Final answer to the exercise

$2\sin\left(x\right)\cot\left(x\right)-\cot\left(x\right)$

Try other ways to solve this exercise

  • 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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