Trigonometry Examples

$\sin^{2} (x) \cos^{2} (x) + \cos^{4} (x)$

Step 1

Factor $\cos^{2} (x)$ out of $\sin^{2} (x) \cos^{2} (x) + \cos^{4} (x)$ .

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Step 1.1

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

$\cos^{2} (x) \sin^{2} (x) + \cos^{4} (x)$

Step 1.2

Factor $\cos^{2} (x)$ out of $\cos^{4} (x)$ .

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

Step 1.3

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

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

Step 2

Apply pythagorean identity.

$\cos^{2} (x) \cdot 1$

Step 3

Multiply $\cos^{2} (x)$ by $1$ .

$\cos^{2} (x)$