Useful Integrals

Trigonometric Relations

sin( x y) = sin x cos y cos x sin y

cos( x y) = cos x cos y sin x sin y

2sin x sin y = cos( x - y) - cos( x + y)

2sin x cos y = cos( x + y) + sin( x - y)

2cos x cos y = cos( x + y) + cos( x - y)

sin2 x = 2sin x cos x

cos2 x = 1 - 2sin ² x

Approximations for Small Quantities

Half-Angle Formulas

Hyperbolic Functions

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