Trigonometry Examples

$2 \cos^{2} (17 - 1)$

Step 1

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $2 \cos^{2} (17 - 1)$ .

$2 (\cos^{2} (17 - 1)) \cdot \frac{π}{180}$ radians

Step 2.1.2

Factor $2$ out of $180$ .

$2 (\cos^{2} (17 - 1)) \cdot \frac{π}{2 (90)}$ radians

Step 2.1.3

Cancel the common factor.

$2 \cos^{2} (17 - 1) \cdot \frac{π}{2 \cdot 90}$ radians

Step 2.1.4

Rewrite the expression.

$\cos^{2} (17 - 1) \cdot \frac{π}{90}$ radians

Step 2.2

Combine $\cos^{2} (17 - 1)$ and $\frac{π}{90}$ .

$\frac{\cos^{2} (17 - 1) π}{90}$ radians

Step 3

Simplify the numerator.

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Step 3.1

Subtract $1$ from $17$ .

$\frac{\cos^{2} (16) π}{90}$ radians

Step 3.2

Evaluate $\cos (16)$ .

$\frac{{0.96126169}^{2} π}{90}$ radians

Step 3.3

Raise $0.96126169$ to the power of $2$ .

$\frac{0.92402404 π}{90}$ radians

Step 4

Simplify by multiplying terms.

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Step 4.1

Multiply $0.92402404$ by $π$ .

$\frac{2.90290716}{90}$ radians

Step 4.2

Divide $2.90290716$ by $90$ .

$0.03225452$ radians