What are the trigonometric functions for 240?

Answer 1

It is easiest to find these using the unit circle. Assuming you want exact values for sin, cos, and tan.

240 degrees is equal to 4[Pi]/3 radians.

cos(4[Pi]/3) and sin(4[Pi]/3) are easy to find using the unit circle,
cos(4[Pi]/3) = -1/2
sin(4[Pi]/3) = -(Sqrt[3])/2

To find tan, you will need to do a little arithmetic. We know that tan(x) = sin(x)/cos(x), so,
tan(4[Pi]/3) = sin(4[Pi]/3)/cos(4[Pi]/3)
tan(4[Pi]/3) = (-(Sqrt[3])/2) / (-1/2)
tan(4[Pi]/3) = ((Sqrt[3])/2) * (2/1)
tan(4[Pi]/3) = ((Sqrt[3])*2) / (2*1)
tan(4[Pi]/3) = (Sqrt[3]) / 1
tan(4[Pi]/3) = Sqrt[3]

Find the other 3 using reciprocal. This is just a little arithmetic and up to you. You know that cossec(x) = 1/sin(x), sec(x) = 1/cos(x) and cot(x) = cos(x)/sin(x).