What is the sec of pi/4? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Alan P. Oct 20, 2015 sec(pi/4)=1 Explanation: An angle of pi/4 can be represented as a standard triangle with adjacent and opposite side both =1 and hypotenuse =sqrt(2) By definition sec = ("adjacent")/("opposite") So sec(pi/4) = 1/1 = 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^\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 8969 views around the world You can reuse this answer Creative Commons License