Find the exact trigonometric ratios for the angle o =( 4pi)/3

Given that : angle, θ = 4pi/3 = pi + pi/3,

SO,

sin(4pi/3) = sin(pi+pi/3) = -sin(pi/3) = -√3/2 >=======================< ANSWER
cos(4pi/3) = cos(pi+pi/3) = -cos(pi/3) = -1/2 >=======================< ANSWER
tan(4pi/3) = tan(pi+pi/3) = tan(pi/3) = √3 >=======================< ANSWER
cot(4pi/3) = cot(pi+pi/3) = cot(pi/3) = 1/√3 >=======================< ANSWER
sec(4pi/3) = sec(pi+pi/3) = -sec(pi/3) = -2 >=======================< ANSWER
cosec(4pi/3) = cosec(pi+pi/3) = -cosec(pi/3) = -2/√3 >================< ANSWER

(5pi/6)(one hundred 80/pi) = one hundred and fifty stages or 30 degree attitude in QII. Sin one hundred fifty = 0.5 of cos one hundred and fifty = -(sqrt 3)/2 tan one hundred and fifty = -a million/sqrt 3 = -(sqrt 3)/3 cot one hundred and fifty = -sqrt 3 sec one hundred fifty = (-2 sqrt 3)3 csc one hundred and fifty = 2