The trigonometric function secant gives a value for each angle of a right triangle and every value is called the secant value in trigonometry. There are several secant values but five secant values are used in most of the cases and they are used to derive the remaining secant function values mathematically.
The special values of secant function for some standard angles are listed here with proofs in a tabular form. The secant chart is really helpful in studying the advanced level of trigonometric mathematics.
| Angle $(\theta)$ | Secant value $(\sec{\theta})$ | ||||
|---|---|---|---|---|---|
| Degrees | Radian | Grades | Fraction | Decimal | Proof |
| $0^°$ | $0$ | $0^g$ | $1$ | $1$ | |
| $30^°$ | $\dfrac{\pi}{6}$ | $33\dfrac{1}{3}^g$ | $\dfrac{2}{\sqrt{3}}$ | $1.1547$ | |
| $45^°$ | $\dfrac{\pi}{4}$ | $50^g$ | $\sqrt{2}$ | $1.4142$ | |
| $60^°$ | $\dfrac{\pi}{3}$ | $66\dfrac{2}{3}^g$ | $2$ | $2$ | |
| $90^°$ | $\dfrac{\pi}{2}$ | $100^g$ | $\infty$ | $\infty$ | |
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