Sec Calculator Degrees

What is Secant in Degrees?

The secant function, often written as sec(θ), is a trigonometric function that represents the ratio of the hypotenuse to the adjacent side in a right-angled triangle. It's defined as the reciprocal of the cosine function:

This function is particularly useful in physics, engineering, and navigation where angles are often measured in degrees rather than radians. The secant function has a period of 360 degrees, meaning it repeats its values every full rotation.

How to Calculate Secant

Calculating the secant of an angle involves these steps:

1. Convert the angle from degrees to radians if necessary (though most calculators handle degrees directly)
2. Calculate the cosine of the angle
3. Take the reciprocal of the cosine value to get the secant

For angles where the cosine is zero (90°, 270°, etc.), the secant is undefined because division by zero is not possible. This calculator handles these edge cases appropriately.

Secant Formula

Where:

• θ is the angle in degrees
• cos(θ) is the cosine of the angle

The secant function is defined for all real numbers except where the cosine is zero (θ ≠ 90° + k*180°, where k is any integer).

Calculation Examples

Let's look at a few examples to understand how the secant function works:

These examples show how the secant function relates to the cosine function and how it behaves at different angles.