Precalculus Examples

$14^{2} + 8^{2} - 2 \cdot 14 \cdot (8 \cos (200))$

Step 1

Simplify each term.

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Step 1.1

Raise $14$ to the power of $2$ .

$196 + 8^{2} - 2 \cdot 14 \cdot (8 \cos (200))$

Step 1.2

Raise $8$ to the power of $2$ .

$196 + 64 - 2 \cdot 14 \cdot (8 \cos (200))$

Step 1.3

Multiply $- 2$ by $14$ .

$196 + 64 - 28 \cdot (8 \cos (200))$

Step 1.4

Multiply $8$ by $- 28$ .

$196 + 64 - 224 \cos (200)$

Step 2

Add $196$ and $64$ .

$260 - 224 \cos (200)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$260 - 224 \cos (200)$

Decimal Form:

$470.49114705 \dots$