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Exercise

$\left(8+12\sin\left(x\right)+6\sin\left(x\right)^2+\sin\left(x\right)^3\right)\cos\left(x\right)$

Step-by-step Solution

1

Multiply the single term $\cos\left(x\right)$ by each term of the polynomial $\left(8+12\sin\left(x\right)+6\sin\left(x\right)^2+\sin\left(x\right)^3\right)$

$8\cos\left(x\right)+12\sin\left(x\right)\cos\left(x\right)+6\sin\left(x\right)^2\cos\left(x\right)+\sin\left(x\right)^3\cos\left(x\right)$

Final answer to the exercise

$8\cos\left(x\right)+12\sin\left(x\right)\cos\left(x\right)+6\sin\left(x\right)^2\cos\left(x\right)+\sin\left(x\right)^3\cos\left(x\right)$

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