Question

How do you evaluate `sin(3pi/8)`?

Answer 1

`sin(3/8pi) = 0.9238`

Explanation:

`sin(3pi/8) = sin((3pi)/8)`

We know that `pi^"c"` (radians) are equal to `180^"o"`.

(If we have a circle where `r=1`, then the circumference is just `2pi`. If we say the circumference is `360^"o"`, then `2pi=360^"o"`. Thus, `pi=180^"o"`)

Therefore, to evaluate `sin((3pi)/8)`, we simply have to replace `pi` with `180`.

`sin((3pi)/8)=sin((3*180)/8)=sin(67.5)=0.9238`