How do you find the exact 6 trigonometric ratios for the angle x whose radian measure is (5pi)/6? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Nghi N. May 5, 2015 sin [(5pi)/6] = sin (pi- pi/6) = sin (pi/6) = 1/2 cos [(5pi)/6)] = cos (Pi - Pi/6) = -cos (pi/6) = (-sqr3)/2 tan ((5pi)/6) = -1/(sqr3) = -(sqr3)/3 cot [(5pi)/6] = -sqr3 sec [(5pi)/6] = 2 csc [(5pi)/6] = -2/(sqr3) Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for 140^\circ? How do you find the value of cot 300^@? What is the value of sin -45^@? How do you find the trigonometric functions of values that are greater than 360^@? How do you use the reference angles to find sin210cos330-tan 135? How do you know if sin 30 = sin 150? How do you show that (costheta)(sectheta) = 1 if theta=pi/4? See all questions in Trigonometric Functions of Any Angle Impact of this question 11698 views around the world You can reuse this answer Creative Commons License