Simplify 14^210^2-2(1410)cos(40)

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Trigonometry

Simplify 14^2*10^2-2(14*10)cos(40)

$14^{2} \cdot 10^{2} - 2 (14 \cdot 10) \cos (40)$

Simplify each term.

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

$196 \cdot 10^{2} - 2 (14 \cdot 10) \cos (40)$

Write $196 \cdot 10^{2}$ in proper scientific notation.

$1.96 \cdot 10^{4} - 2 (14 \cdot 10) \cos (40)$

Multiply $14$ by $10$ .

$1.96 \cdot 10^{4} - 2 \cdot 140 \cos (40)$

Multiply $- 2$ by $140$ .

$1.96 \cdot 10^{4} - 280 \cos (40)$

Evaluate $\cos (40)$ .

$1.96 \cdot 10^{4} - 280 \cdot 0.76604444$

Multiply $- 280$ by $0.76604444$ .

$1.96 \cdot 10^{4} - 214.49244407$

Subtract $214.49244407$ from $1.96 \cdot 10^{4}$ .

$19385.50755592$

The result can be shown in multiple forms.

Scientific Notation:

$14^{2} \cdot 10^{2} - 2 (14 \cdot 10) \cos (40)$

Expanded Form:

$19385.50755592$

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