How do you find the 6 trigonometric functions for 10pi/3?

1 Answer
Nghi N.
Oct 19, 2015

Find the 6 trig functions of (10pi)/3.

Explanation:

arc (10pi)/3 --> arc ((4pi)/3 + 2pi) --> arc (4pi)/3
On the trig unit circle,
sin ((4pi)/3) = - sin pi/3 = - sqrt3/2
cos ((4pi)/3) = - cos pi/3 = - 1/2
tan ((4pi)/3) = sin/(cos) = sqrt3
cot ((4pi)/3) = 1/sqrt3 = sqrt3/3
sec ((4pi)/3) = - 2/sqrt3 = - 2sqrt3/3

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