How do you solve and find the value of #sin(arctan(sqrt3/3))#? Trigonometry Inverse Trigonometric Functions Inverse Trigonometric Properties 1 Answer sankarankalyanam Mar 19, 2018 #color(red)(theta = n pi + pi/6 color(white)(aaa)# #color(green)(n in ZZ# Explanation: Let #theta = arctan(sqrt3/3)# #tan theta = tan (tan^-1 (sqrt3/3))# #tan theta = sqrt3 / 3 = 1/ sqrt 3# # theta = pi / 6 = 30^@# Genaralozing, #theta = n pi + pi/6 color(white)(aaa)# #n in ZZ# Answer link Related questions How do you use the properties of inverse trigonometric functions to evaluate #tan(arcsin (0.31))#? What is #\sin ( sin^{-1} frac{sqrt{2}}{2})#? How do you find the exact value of #\cos(tan^{-1}sqrt{3})#? How do you evaluate #\sec^{-1} \sqrt{2} #? How do you find #cos( cot^{-1} sqrt{3} )# without a calculator? How do you rewrite #sec^2 (tan^{-1} x)# 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)#? How do you solve the inverse trig function #cos^-1 (-sqrt2/2)#? How do you solve the inverse trig function #sin(sin^-1 (1/3))#? See all questions in Inverse Trigonometric Properties Impact of this question 3304 views around the world You can reuse this answer Creative Commons License