Trigonometry Examples

$\cos (\frac{5 π}{3}) = \cos (\frac{π}{3})$

Step 1

Simplify $\cos (\frac{5 π}{3})$ .

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Step 1.1

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

$\cos (\frac{π}{3}) = \cos (\frac{π}{3})$

Step 1.2

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

$\frac{1}{2} = \cos (\frac{π}{3})$

Step 2

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

$\frac{1}{2} = \frac{1}{2}$

Step 3