Question

How do you evaluate the expression `csc(pi/4)`?

Answer 1

`sqrt2`

Explanation:

Using the `color(blue)"trig. identity"`

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(csctheta=1/sintheta)color(white)(a/a)|)))`

`rArrcsc(pi/4)=1/sin(pi/4)`

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(sin(pi/4)=1/sqrt2)color(white)(a/a)|)))`

`rArrcsc(pi/4)=1/sin(pi/4)=(1)/(1/sqrt2)=sqrt2`