Trigonometry Examples

${6.8}^{2} + {10.5}^{2} \cdot 2 - 2 \cdot 6.8 \cdot (10.5 \cos (25.4))$

Step 1

Simplify each term.

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Step 1.1

Raise $6.8$ to the power of $2$ .

$46.24 + {10.5}^{2} \cdot 2 - 2 \cdot 6.8 \cdot (10.5 \cos (25.4))$

Step 1.2

Raise $10.5$ to the power of $2$ .

$46.24 + 110.25 \cdot 2 - 2 \cdot 6.8 \cdot (10.5 \cos (25.4))$

Step 1.3

Multiply $110.25$ by $2$ .

$46.24 + 220.5 - 2 \cdot 6.8 \cdot (10.5 \cos (25.4))$

Step 1.4

Multiply $- 2$ by $6.8$ .

$46.24 + 220.5 - 13.6 \cdot (10.5 \cos (25.4))$

Step 1.5

Multiply $10.5$ by $\cos (25.4)$ .

$46.24 + 220.5 - 13.6 \cdot 9.48502057$

Step 1.6

Multiply $- 13.6$ by $9.48502057$ .

$46.24 + 220.5 - 128.99627982$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $46.24$ and $220.5$ .

$266.74 - 128.99627982$

Step 2.2

Subtract $128.99627982$ from $266.74$ .

$137.74372017$