Secant Calculator

Calculate the secant of an angle in degrees or radians. Understand secant with visual representation.

To calculate the secant of an angle, enter the angle value and choose the unit (degrees or radians). Click 'Calculate' to find the secant value and visualize it on the unit circle.

Enter Angle:

Select Unit:

Result:

Secant( ) =

Visual Representation on Unit Circle

Visualization of Secant, Cosine, and Radius on the Unit Circle

Understanding Secant (sec)

In trigonometry, the secant (sec) of an angle is defined as the ratio of the hypotenuse to the adjacent side in a right-angled triangle, or equivalently, as the reciprocal of the cosine of the angle. Mathematically, it's represented as:

sec(θ) = 1/cos(θ)

The secant function is periodic with a period of 2π radians or 360 degrees. It is undefined when the cosine of the angle is zero, which occurs at angles like π/2, 3π/2, etc., or 90°, 270°, etc.

This calculator helps you quickly find the secant of any given angle, whether in degrees or radians, and provides a visual representation to aid understanding.

Learn more about secant on Wikipedia.