Question

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

Answer 1

`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`