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Solving: f(x)=(arctan⁡(x)−arcsin⁡(x))sin⁡(x)f\left(x\right)=\left(\arctan\left(x\right)-\arcsin\left(x\right)\right)\sin\left(x\right)
Solve instead: f(x)=sen(arctan(x)−arcsen(x))f\left(x\right)=sen\left(arctan\left(x\right)-arcsen\left(x\right)\right)

Exercise

f(x)=sen(arctan(x)−arcsen(x))f\left(x\right)=sen\left(arctan\left(x\right)-arcsen\left(x\right)\right)

Step-by-step Solution

1

Multiplying polynomials sin⁡(x)\sin\left(x\right) and arctan⁡(x)−arcsin⁡(x)\arctan\left(x\right)-\arcsin\left(x\right)

f(x)=sin⁡(x)arctan⁡(x)−sin⁡(x)arcsin⁡(x)f\left(x\right)=\sin\left(x\right)\arctan\left(x\right)-\sin\left(x\right)\arcsin\left(x\right)

Final answer to the exercise

f(x)=sin⁡(x)arctan⁡(x)−sin⁡(x)arcsin⁡(x)f\left(x\right)=\sin\left(x\right)\arctan\left(x\right)-\sin\left(x\right)\arcsin\left(x\right)

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Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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f(x)=sen(arctan(x)−arcsen(x))
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