Trigonometry Examples

${18.4}^{2} + {26.3}^{2} - 2 \cdot 18.4 \cdot 26.3 \cos (47.9)$

Step 1

Simplify each term.

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Step 1.1

Raise $18.4$ to the power of $2$ .

$338.56 + {26.3}^{2} - 2 \cdot 18.4 \cdot (26.3 \cos (47.9))$

Step 1.2

Raise $26.3$ to the power of $2$ .

$338.56 + 691.69 - 2 \cdot 18.4 \cdot (26.3 \cos (47.9))$

Step 1.3

Multiply $- 2$ by $18.4$ .

$338.56 + 691.69 - 36.8 \cdot (26.3 \cos (47.9))$

Step 1.4

Multiply $26.3$ by $\cos (47.9)$ .

$338.56 + 691.69 - 36.8 \cdot 17.63222007$

Step 1.5

Multiply $- 36.8$ by $17.63222007$ .

$338.56 + 691.69 - 648.86569889$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $338.56$ and $691.69$ .

$1030.25 - 648.86569889$

Step 2.2

Subtract $648.86569889$ from $1030.25$ .

$381.3843011$