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Enter the angle, and the free Secant Calculator will compute the secant and inverse secant (arcsec) values in radians, degrees, or pi-radians.
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Our online secant calculator lets you compute the secant of any angle in degrees, radians, or π radians. You can also find the inverse secant (arcsec) using this free online tool. Learn what secant is, how to calculate it, and solve secant functions quickly and accurately.
In trigonometry, there are six main functions:
Secant is the reciprocal of cosine. In a right triangle:
sec θ = hypotenuse / adjacent
The secant function has a period of 2π and can be quickly calculated with our secant calculator. For inverse calculations, you can use an Online Arccos Calculator.
For a right triangle:
\( sec(\alpha) = \frac{hypotenuse}{adjacent} \)
A secant calculator automatically applies this formula for you, avoiding errors and saving time.
Example: A right triangle has a hypotenuse of 10 and an adjacent side of 2.
Using the calculator, simply enter the hypotenuse and adjacent side values, and the result is generated instantly.
The table below shows secant values for common angles. For angles not listed, use the calculator for accurate results.
| Angle (°) | Angle (radians) | Secant |
|---|---|---|
| 0° | 0 | 1 |
| 15° | π/12 | √6 − √2 |
| 30° | π/6 | 2√3/3 |
| 45° | π/4 | √2 |
| 60° | π/3 | 2 |
| 75° | 5π/12 | √6 + √2 |
| 90° | π/2 | undefined |
| 105° | 7π/12 | -√6 − √2 |
| 120° | 2π/3 | -2 |
| 135° | 3π/4 | -√2 |
| 150° | 5π/6 | -2√3/3 |
| 180° | π | -1 |
| 270° | 3π/2 | undefined |
| 360° | 2π | 1 |
For inverse calculations, try an Arcsin Calculator.
The secant function graph features repeating U-shaped curves. Secant values never fall between -1 and 1, and the curves do not cross the x-axis.
Secant is the reciprocal of cosine: sec A = 1 / cos A. Learn more about reciprocal identities here.
sec² θ = 1 + tan² θ (the secant squared identity).
Yes, by definition, sec 2x = 1 / cos 2x.
sec² 0 = 1² = 1
If you have a trigonometry test, this secant calculator helps calculate secant and inverse secant values quickly and accurately. It is free to use for any angle in degrees, radians, or π radians.
Wikipedia: Secant Line, Oregon State: Slope of a Secant Line, UCSB: Secant Lines & Derivatives.
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