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

1 Answer
Jun 3, 2015

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

Explanation:

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