How do you evaluate sec(2π)? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Nilesh S. Mar 17, 2018 sec(2pi)=1sec(2π)=1 Explanation: sec(2pi)sec(2π) can be written as sec(0)sec(0) because sec(2pi)= sec(2pi-0)=sec(0)sec(2π)=sec(2π−0)=sec(0) and sec(0)=1sec(0)=1 So sec(2pi)=1sec(2π)=1 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^\circ140∘? How do you find the value of cot 300^@cot300∘? What is the value of sin -45^@sin−45∘? How do you find the trigonometric functions of values that are greater than 360^@360∘? How do you use the reference angles to find sin210cos330-tan 135sin210cos330−tan135? How do you know if sin 30 = sin 150sin30=sin150? How do you show that (costheta)(sectheta) = 1(cosθ)(secθ)=1 if theta=pi/4θ=π4? See all questions in Trigonometric Functions of Any Angle Impact of this question 2934 views around the world You can reuse this answer Creative Commons License