How do you find the exact value of tan π/4? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer droog Jun 2, 2018 #tan (pi/4)#=1 Explanation: #pi#=180˚ #therefore# #pi/4#=45˚ hence tan 45˚=1 The reason #pi# equals 180˚ is that the circumference of a circle is 360˚ C=2#pi#r=360˚ which is one full rotation of r now 180˚ is #1/2# a rotation of r which equals #1/2 * 2pi#= #pi# #therefore# #pi=180˚# 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 38191 views around the world You can reuse this answer Creative Commons License