Trigonometry Examples

${(340)}^{2} + {(500)}^{2} - 2 \cdot 340 \cdot 500 \cos (130)$

Step 1

Simplify each term.

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Step 1.1

Raise $340$ to the power of $2$ .

$115600 + {(500)}^{2} - 2 \cdot 340 \cdot 500 \cos (130)$

Step 1.2

Raise $500$ to the power of $2$ .

$115600 + 250000 - 2 \cdot 340 \cdot 500 \cos (130)$

Step 1.3

Multiply $- 2 \cdot 340 \cdot 500$ .

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Step 1.3.1

Multiply $- 2$ by $340$ .

$115600 + 250000 - 680 \cdot 500 \cos (130)$

Step 1.3.2

Multiply $- 680$ by $500$ .

$115600 + 250000 - 340000 \cos (130)$

Step 2

Add $115600$ and $250000$ .

$365600 - 340000 \cos (130)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$365600 - 340000 \cos (130)$

Decimal Form:

$584147.78729342 \dots$