Math Doubts

Cosecant values

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The trigonometric function cosecant gives a value for any angle of a right triangle and each value is called the cosecant value. There are numerous cosecant values but five of them are used in most of the cases in trigonometry and they are used to derive the remaining cosecant function values mathematically.

Table

The special values of cosecant function for some standard angles are listed here with proofs in a tabular form. The cosecant chart is really helpful in mathematics for studying the trigonometry in advanced level..

Angle $(\theta)$ Cosecant value $(\csc{\theta})$
Degrees Radian Grades Fraction Decimal Proof
$0^°$ $0$ $0^g$ $\infty$ $\infty$
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$30^°$ $\dfrac{\pi}{6}$ $33\dfrac{1}{3}^g$ $2$ $2$
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$45^°$ $\dfrac{\pi}{4}$ $50^g$ $\sqrt{2}$ $1.4142$
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$60^°$ $\dfrac{\pi}{3}$ $66\dfrac{2}{3}^g$ $\dfrac{2}{\sqrt{3}}$ $1.1547$
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$90^°$ $\dfrac{\pi}{2}$ $100^g$ $1$ $1$
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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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