Examples

\cos (\frac{x}{2})

$\cos (\frac{x}{2})$ ,

x = 2 π

$x = 2 π$

Step 1

Replace the variable

x

$x$ with

2 π

$2 π$ in the expression.

\cos (\frac{2 π}{2})

$\cos (\frac{2 π}{2})$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Cancel the common factor.

\cos (\frac{2 π}{2})

$\cos (\frac{2 π}{2})$

Step 2.2

Divide

π

$π$ by

1

$1$ .

\cos (π)

$\cos (π)$

\cos (π)

$\cos (π)$

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

- \cos (0)

$- \cos (0)$

Step 4

The exact value of

\cos (0)

$\cos (0)$ is

1

$1$ .

- 1 \cdot 1

$- 1 \cdot 1$

Step 5

Multiply

- 1

$- 1$ by

1

$1$ .

- 1

$- 1$

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