Evaluate the sine cosine and tangent of the angle without us

Evaluate the sine, cosine, and tangent of the angle without using a calculator. (If an answer is undefined, enter UNDEFINED.)

= 10/3

Solution

sin(10pi/3) = sin(600)

                        =sin(360+240)

                        =sin(180+60)

                       =-sin60 = -sqrt(3)/2

cos(10pi/3)= cos(240)

                     =cos(180+60) = -cos(60)= -1/2

tan(10pi/3)= tan(240)

               =tan60 = sqrt(3)