Trigonometry Examples

$\sin (\frac{3 π}{4}) + \sin (\frac{5 π}{6})$

Step 1

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

$\sin (\frac{π}{4}) + \sin (\frac{5 π}{6})$

Step 2

The exact value of $\sin (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$\frac{\sqrt{2}}{2} + \sin (\frac{5 π}{6})$

Step 3

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

$\frac{\sqrt{2}}{2} + \sin (\frac{π}{6})$

Step 4

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

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$1.20710678 \dots$