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

1 Answer

Nghi N. · EZ as pi

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#

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