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Exercise

$\frac{\left(1-cos2x\right)}{x^2}$

Step-by-step Solution

1

Use the trigonometric identity: $1-\cos\left(2x\right)=2\sin\left(x\right)^2$

$\frac{2\sin\left(x\right)^2}{x^2}$

Final answer to the exercise

$\frac{2\sin\left(x\right)^2}{x^2}$

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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  • Factor by completing the square
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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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