Trigonometric Functions of Angle plus Full Angle
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Theorem
Sine of Angle plus Full Angle
- $\map \sin {x + 2 \pi} = \sin x$
Cosine of Angle plus Full Angle
- $\map \cos {x + 2 \pi} = \cos x$
Tangent of Angle plus Full Angle
- $\map \tan {x + 2 \pi} = \tan x$
Cotangent of Angle plus Full Angle
- $\cot \left({x + 2 \pi}\right) = \cot x$
Secant of Angle plus Full Angle
- $\sec \left({x + 2 \pi}\right) = \sec x$
Cosecant of Angle plus Full Angle
- $\csc \left({x + 2 \pi}\right) = \csc x$
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 5$: Trigonometric Functions: Functions of Angles in All Quadrants in terms of those in Quadrant I