Sec Calculator
Calculate the secant of any angle in degrees or radians, with pole detection.
Inputs
sec(θ)
2.0000000000
Angle (degrees)
60.000000°
Angle (radians)
1.04719755
Step by step
Convert to radians
60 degrees = 1.04719755 rad
Check for poles
= No singularity detected
Apply sec function
sec(1.04719755) = 1/cos(1.04719755)
= 2
How it works
The secant is the reciprocal of cosine: sec(θ) = 1/cos(θ) = hypotenuse/adjacent. It is undefined where cos = 0, i.e. at 90° + k·180°.
Formula
Secant definition
sec θ = 1 / cos θ = hypotenuse / adjacent
- θ
- The angle
Frequently Asked Questions
What is sec(0°)?
sec(0°) = 1/cos(0°) = 1/1 = 1.
Where is secant undefined?
At 90°, 270°, and all odd multiples of 90° — wherever cosine equals zero.