How do you find the six trigonometric functions of 390 degrees?

##390° = 360°+30° = 30°## The ratios of 390 are the same as the ratios of 30°.

##sin 390 = sin (30 + 360) = sin 30 = 1/2##

##cos 390 = cos (30 + 360) = cos 30 = sqrt3/2##

##tan 390 = tan 30 = 1/sqrt3 = sqrt3/3##

##cot 390 = 1/(tan 30) = sqrt3/1##

##sec 390 = 1/cos 30 = 2/sqrt3##

##csc 390 = 1/(sin 30) = 2/1##