Trigonometric Functions of Angle plus Three Right Angles
Jump to navigation
Jump to search
Theorem
Sine of Angle plus Three Right Angles
- $\map \sin {x + \dfrac {3 \pi} 2} = -\cos x$
Cosine of Angle plus Three Right Angles
- $\map \cos {x + \dfrac {3 \pi} 2} = \sin x$
Tangent of Angle plus Three Right Angles
- $\map \tan {x + \dfrac {3 \pi} 2} = -\cot x$
Cotangent of Angle plus Three Right Angles
- $\map \cot {x + \dfrac {3 \pi} 2} = -\tan x$
Secant of Angle plus Three Right Angles
- $\map \sec {x + \dfrac {3 \pi} 2} = \csc x$
Cosecant of Angle plus Three Right Angles
- $\map \csc {x + \dfrac {3 \pi} 2} = -\sec x$
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