Trigonometry Examples

$\cos^{3} (x) + \sin^{2} (x) \cos (x)$

Step 1

Factor $\cos (x)$ out of $\cos^{3} (x) + \sin^{2} (x) \cos (x)$ .

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Step 1.1

Factor $\cos (x)$ out of $\cos^{3} (x)$ .

$\cos (x) \cos^{2} (x) + \sin^{2} (x) \cos (x)$

Step 1.2

Factor $\cos (x)$ out of $\sin^{2} (x) \cos (x)$ .

$\cos (x) \cos^{2} (x) + \cos (x) \sin^{2} (x)$

Step 1.3

Factor $\cos (x)$ out of $\cos (x) \cos^{2} (x) + \cos (x) \sin^{2} (x)$ .

$\cos (x) (\cos^{2} (x) + \sin^{2} (x))$

Step 2

Rearrange terms.

$\cos (x) (\sin^{2} (x) + \cos^{2} (x))$

Step 3

Apply pythagorean identity.

$\cos (x) \cdot 1$

Step 4

Multiply $\cos (x)$ by $1$ .

$\cos (x)$