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Trigonometry Formulas & Calculators

Understand trigonometry formulas with explanations, examples and interactive tools.

Trigonometry

Sine Ratio

\(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\)

Right triangle definition for acute angle θ.

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Trigonometry

Cosine Ratio

\(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\)

Right triangle definition for acute angle θ.

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Trigonometry

Tangent Ratio

\(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\)

Right triangle definition when adjacent is nonzero.

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Trigonometry

Pythagorean Identity

\(\sin^2\theta+\cos^2\theta=1\)

Fundamental identity for all real angles.

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Trigonometry

Tangent Identity

\(1+\tan^2\theta=\sec^2\theta\)

Where tangent and secant are defined.

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Trigonometry

Sine Rule

\(\frac a{\sin A}=\frac b{\sin B}=\frac c{\sin C}\)

Relates triangle sides to their opposite angles.

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Trigonometry

Cosine Rule

\(c^2=a^2+b^2-2ab\cos C\)

Find third side using included angle.

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Trigonometry

Degree to Radian

\(rad=deg\times\frac\pi{180}\)

Convert angle degrees to radians.

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Trigonometry

Radian to Degree

\(deg=rad\times\frac{180}\pi\)

Convert radians to degrees.

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