Trigonometry Examples

$50 - \frac{1}{2} \cdot (5 (2.5 \sqrt{3})) + \frac{1}{2} \cdot (p ({2.5}^{2}))$

Step 1

Simplify each term.

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Step 1.1

Multiply $2.5$ by $\sqrt{3}$ .

$50 - \frac{1}{2} \cdot (5 \cdot 4.33012701) + \frac{1}{2} \cdot (p ({2.5}^{2}))$

Step 1.2

Multiply $5$ by $4.33012701$ .

$50 - \frac{1}{2} \cdot 21.65063509 + \frac{1}{2} \cdot (p ({2.5}^{2}))$

Step 1.3

Multiply $- \frac{1}{2} \cdot 21.65063509$ .

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Step 1.3.1

Multiply $21.65063509$ by $- 1$ .

$50 - 21.65063509 (\frac{1}{2}) + \frac{1}{2} \cdot (p ({2.5}^{2}))$

Step 1.3.2

Combine $- 21.65063509$ and $\frac{1}{2}$ .

$50 + \frac{- 21.65063509}{2} + \frac{1}{2} \cdot (p ({2.5}^{2}))$

Step 1.4

Divide $- 21.65063509$ by $2$ .

$50 - 10.82531754 + \frac{1}{2} \cdot (p ({2.5}^{2}))$

Step 1.5

Raise $2.5$ to the power of $2$ .

$50 - 10.82531754 + \frac{1}{2} \cdot (p \cdot 6.25)$

Step 1.6

Move $6.25$ to the left of $p$ .

$50 - 10.82531754 + \frac{1}{2} \cdot (6.25 \cdot p)$

Step 1.7

Multiply $\frac{1}{2} (6.25 p)$ .

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Step 1.7.1

Combine $6.25$ and $\frac{1}{2}$ .

$50 - 10.82531754 + \frac{6.25}{2} p$

Step 1.7.2

Combine $\frac{6.25}{2}$ and $p$ .

$50 - 10.82531754 + \frac{6.25 p}{2}$

Step 1.8

Factor $6.25$ out of $6.25 p$ .

$50 - 10.82531754 + \frac{6.25 (p)}{2}$

Step 1.9

Factor $2$ out of $2$ .

$50 - 10.82531754 + \frac{6.25 (p)}{2 (1)}$

Step 1.10

Separate fractions.

$50 - 10.82531754 + \frac{6.25}{2} \cdot \frac{p}{1}$

Step 1.11

Divide $6.25$ by $2$ .

$50 - 10.82531754 + 3.125 \frac{p}{1}$

Step 1.12

Divide $p$ by $1$ .

$50 - 10.82531754 + 3.125 p$

Step 2

Subtract $10.82531754$ from $50$ .

$39.17468245 + 3.125 p$