# How do you find the exact value of sin67.5 degrees?

##### 2 Answers

We could use the half-angle identity:

#### Explanation:

The formula doesn't tell us whether

We also need

Now use the formula ans simplify:

# = sqrt((1-(-sqrt2/2))/2) = sqrt((1+sqrt2/2)/2)#

# = sqrt ((2+sqrt2)/4) = sqrt (2+sqrt2)/2 #

Find sin 67.5

#### Explanation:

Call sin 67.5 = sin x