How do you evaluate sec 780sec780? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Nghi N Dec 24, 2016 2 Explanation: sec (780) = 1/(cos 780).sec(780)=1cos780. Find cos (780). cos (780) = cos (60 + 2(360)) = cos 60 cos(780)=cos(60+2(360))=cos60 Trig table gives: cos 60 = 1/2cos60=12. There for: sec 780 = 1/(cos 60) = 2sec780=1cos60=2 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 8129 views around the world You can reuse this answer Creative Commons License