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

Solution:

The six trigonometric functions of angle 120 are as follows:

sin120 = sin 60 = √3/2

(sin values are positive in second quadrant)

cos120 = cos(180 - 60)

= -cos60

= -1/2

tan 120

= tan(180 - 60)

= -tan60

= -√3

cosec 120

= 1/sin120

= 2/√3

sec 120

= 1/cos 120

= -2

cot 120 = -1/√3

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

Summary:

The exact values of the six trig functions of angle 120 are sin 120 = √3/2, cos120 = -1/2, tan120 = -tan60 = -√3, cosec 120 = 2/√3, sec 120 = -2, cot 120 = -1/√3