Trigonometric functions

sin0 = 0

tan0 = 0

cos0 = 1 - ( ½ x 0² )

sin² + cos² = 1

tan² + 1 = sec²

cot² + 1 = cosec²

sin2x = 2sinxcosx

cos2x = cos² - sin² = 1 - 2sin²x = 2cos²x - 1

tan2x = 2tanx / 1 - tan²x

sin ( a ± b ) = sinacosb ± sinbcosa

cos ( a ± b ) = cosacosb -/+ sinasinb

tan ( a ± b ) = tana ± tanb / 1 -/+ tanatanb

( dy/dx ) tan = sec² ∫ sec² = tan

( dy/dx ) cot = - cosec² ∫ cosec² = - cot

( dy/dx ) cosec = - cotcosec ∫ coseccot = -cosec

( dy/dx ) sec = sectan ∫ sectan = sec

( dy/dx ) ln[ sin ] = cot ∫ cot = ln [ sin ]

( dy/dx ) ln[ cos ] = -tan ∫ tan = - ln [ cos ]

( dy/dx ) ln[ cosec + cot ] = - cosec ∫ cosec = ln [ cot + cosec ]

( dy/dx ) ln[ sec + tan ] = sec ∫ sec = ln [ sec + tan ]