Trigonometry Examples

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

Step 1

Simplify with factoring out.

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

Step 2

Apply pythagorean identity.

$2 \cdot 1$

Step 3

Multiply $2$ by $1$ .

$2$