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Exercise

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

Step-by-step Solution

1

Simplify $\frac{\sec\left(x\right)^2}{x\tan\left(x\right)}$ by applying trigonometric identities

$\frac{\sec\left(x\right)\csc\left(x\right)}{x}$

Final answer to the exercise

$\frac{\sec\left(x\right)\csc\left(x\right)}{x}$

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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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