Trigonometry Examples

$10^{2} + 12^{2} - 2 \cdot 10 \cdot (12 \cos (90))$

Step 1

Simplify each term.

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Step 1.1

Raise $10$ to the power of $2$ .

$100 + 12^{2} - 2 \cdot 10 \cdot (12 \cos (90))$

Step 1.2

Raise $12$ to the power of $2$ .

$100 + 144 - 2 \cdot 10 \cdot (12 \cos (90))$

Step 1.3

Multiply $- 2$ by $10$ .

$100 + 144 - 20 \cdot (12 \cos (90))$

Step 1.4

The exact value of $\cos (90)$ is $0$ .

$100 + 144 - 20 \cdot (12 \cdot 0)$

Step 1.5

Multiply $- 20 (12 \cdot 0)$ .

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Step 1.5.1

Multiply $12$ by $0$ .

$100 + 144 - 20 \cdot 0$

Step 1.5.2

Multiply $- 20$ by $0$ .

$100 + 144 + 0$

$100 + 144 + 0$

$100 + 144 + 0$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $100$ and $144$ .

$244 + 0$

Step 2.2

Add $244$ and $0$ .

$244$

$244$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$