Math Doubts

Tangent values

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The trigonometric function tangent gives a value for each angle in a right triangle and it is called the tangent value. In trigonometric mathematics, there are numerous tan values but five of them are used mostly and they are actually used to derive the remaining tan function values mathematically.

Table

The special values of tangent function for some standard angles are listed here in a tabular form with proofs. The tan chart is really useful to us in studying the advanced trigonometry.

Angle $(\theta)$ Tan value $(\tan{\theta})$
Degrees Radian Grades Fraction Decimal Proof
$0^°$ $0$ $0^g$ $0$ $0$
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$30^°$ $\dfrac{\pi}{6}$ $33\dfrac{1}{3}^g$ $\dfrac{1}{\sqrt{3}}$ $0.5774$
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$45^°$ $\dfrac{\pi}{4}$ $50^g$ $1$ $1$
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$60^°$ $\dfrac{\pi}{3}$ $66\dfrac{2}{3}^g$ $\sqrt{3}$ $1.7321$
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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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