How do you calculate arccos(- sqrt3/2)arccos(−√32)? Trigonometry Inverse Trigonometric Functions Inverse Trigonometric Properties 1 Answer Massimiliano May 1, 2015 Since the range of the function y=arccosxy=arccosx is [0,pi][0,π] and the value negative -sqrt3/2−√32, the angle is in the second quadrant. So: arccos(-sqrt3/2)=5/6piarccos(−√32)=56π. Answer link Related questions How do you use the properties of inverse trigonometric functions to evaluate tan(arcsin (0.31))tan(arcsin(0.31))? What is \sin ( sin^{-1} frac{sqrt{2}}{2})sin(sin−1√22)? How do you find the exact value of \cos(tan^{-1}sqrt{3})cos(tan−1√3)? How do you evaluate \sec^{-1} \sqrt{2} sec−1√2? How do you find cos( cot^{-1} sqrt{3} )cos(cot−1√3) without a calculator? How do you rewrite sec^2 (tan^{-1} x)sec2(tan−1x) in terms of x? How do you use the inverse trigonometric properties to rewrite expressions in terms of x? How do you calculate sin^-1(0.1)sin−1(0.1)? How do you solve the inverse trig function cos^-1 (-sqrt2/2)cos−1(−√22)? How do you solve the inverse trig function sin(sin^-1 (1/3))sin(sin−1(13))? See all questions in Inverse Trigonometric Properties Impact of this question 20039 views around the world You can reuse this answer Creative Commons License