How do you evaluate this problem without using a calculator?

Question

Sin (0.2pi) / Cos (0.3pi)

According to my calulator, it equals 1, but I don't know how to show the work tha t leads to this answer.

Answer 1

This is true because cos(pi/2-x) =sin(x)

sin (0.2pi)/cos(0.3pi) =
sin(0.2pi)/sin(pi -0.3pi) =
sin(0.2pi)/sin(0.2pi) =1


Helmut is correct--
sin(0.2pi)/sin(pi -0.3pi) should be
sin(0.2pi)/sin(pi/2-0.3pi)
I forgot to divide pi by 2

Answer 2

SoylentGr... is correct, but has an error in equation 2
It should read
sin(0.2pi)/sin(0.5pi - 0.3pi)