Question

How do you find the exact value of `cos(pi/4)+cos(pi/3)`?

Answer 1

You can get the exact values of these functions from the unit circle.

According to the unit circle;

Explanation:

cos(`pi/4`) = `sqrt(2)/"2"`

cos(`pi/4`) = `1/"2"`

Then you add both values together to get the exact value of the expression
(`sqrt(2)/"2"`) + (`1/"2"`) = `(1+sqrt(2))/ ("2")`