Find the sine, cosine and tangent of -4pi/3 WITHOUT USING A CALCULATOR?

Answer 1

sin(-4π/3)= sin( (6π-4π)/3 )= sin(2π/3) =(√3) / 2
cos(-4π/3)= -cos( (6π-4π)/3 )= -cos(2π/3) = - 1/2
tan-4(-4π/3) = - √3

Answer 2

-4pi/3 is the same as 2pi/3 to in the second quad

sin pi/3 = sqrt(3)/2 cos pi/3 = 1/2 and tan pi/3 = sqrt(2)/2

so sin(-4pi/3) = sqrt(3)/3
cos(-4pi/3)= -1/2
tan(-4pi/3)=- sqrt(2)/2