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Solving: (arcsin⁡(u)+arctan⁡(v))cos⁡(u)\left(\arcsin\left(u\right)+\arctan\left(v\right)\right)\cos\left(u\right)
Solve instead: cos(arcsin u+arctan v)cos\left(arcsin\:u+arctan\:v\right)

Exercise

cos(arcsin u+arctan v)cos\left(arcsin\:u+arctan\:v\right)

Step-by-step Solution

1

Multiply the single term cos⁡(u)\cos\left(u\right) by each term of the polynomial (arcsin⁡(u)+arctan⁡(v))\left(\arcsin\left(u\right)+\arctan\left(v\right)\right)

arcsin⁡(u)cos⁡(u)+arctan⁡(v)cos⁡(u)\arcsin\left(u\right)\cos\left(u\right)+\arctan\left(v\right)\cos\left(u\right)

Final answer to the exercise

arcsin⁡(u)cos⁡(u)+arctan⁡(v)cos⁡(u)\arcsin\left(u\right)\cos\left(u\right)+\arctan\left(v\right)\cos\left(u\right)

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cos(arcsin u+arctan v)
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