Math Doubts

Secant values

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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.

Table

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
$0^°$ $0$ $0^g$ $1$ $1$
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$30^°$ $\dfrac{\pi}{6}$ $33\dfrac{1}{3}^g$ $\dfrac{2}{\sqrt{3}}$ $1.1547$
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$45^°$ $\dfrac{\pi}{4}$ $50^g$ $\sqrt{2}$ $1.4142$
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$60^°$ $\dfrac{\pi}{3}$ $66\dfrac{2}{3}^g$ $2$ $2$
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$90^°$ $\dfrac{\pi}{2}$ $100^g$ $\infty$ $\infty$
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Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.

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