Algebra Examples

$\sin (\frac{11 π}{6}) + \cos (\frac{5 π}{3})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$- \sin (\frac{π}{6}) + \cos (\frac{5 π}{3})$

Step 1.2

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

$- \frac{1}{2} + \cos (\frac{5 π}{3})$

Step 1.3

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

$- \frac{1}{2} + \cos (\frac{π}{3})$

Step 1.4

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

$- \frac{1}{2} + \frac{1}{2}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{- 1 + 1}{2}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Add $- 1$ and $1$ .

$\frac{0}{2}$

Step 2.2.2

Divide $0$ by $2$ .

$0$