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=2pir=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 41966 views around the world You can reuse this answer Creative Commons License