Find the exact values using reference angles a sin120 b cos2
Find the exact values using reference angles.
a) sin(120°)
b) cos(-2/3)
c) sin(7/4)
d) tan(-30°)
Solution
a. sin(120)=sin(90+30)=cos 30=sqrt 3/2
b. cos(-2pi/3)=cos(2pi/3)=cos (pi - pi/3)=-sinpi/3=-1/2
c. sin(7pi/4)=sin(2pi - pi/4)=-1/sqrt2
d. tan(-30)=- tan 30= -1/sqrt3
