How do you find the exact values of the six trig functions of angle 120?

1 Answer

See values of all six trig. functions below

Explanation:

#\sin120^\circ=\sin(180^\circ-60^circ)=\sin60^\circ=\sqrt3/2#

#\cos120^\circ=\cos(180^\circ-60^circ)=-\cos60^\circ=-1/2#

#\tan120^\circ=\tan(180^\circ-60^circ)=-\tan60^\circ=-\sqrt3#

#\cosec120^\circ=\cosec(180^\circ-60^circ)=\cosec 60^\circ=2/\sqrt3#

#\sec120^\circ=\sec(180^\circ-60^circ)=-\sec 60^\circ=-2#

#\cot120^\circ=\cot(180^\circ-60^circ)=-\cot60^\circ=-1/\sqrt3#