Trigonometry Examples

$2 \cos (\frac{5 π}{3}) - 1$

Step 1

Simplify each term.

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Step 1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$2 \cos (\frac{π}{3}) - 1$

Step 1.2

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

$2 (\frac{1}{2}) - 1$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Cancel the common factor.

$2 (\frac{1}{2}) - 1$

Step 1.3.2

Rewrite the expression.

$1 - 1$

Step 2

Subtract $1$ from $1$ .

$0$