Trig formulas

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Trigonometric Identities
cos2 + sin21
1 1 1 cos
sec = cos cosec = sin cot = tan = sin
1 + tan2 sec2 1 + cot2 cosec2
Addition Formulae
sin (A + B) sinA cosA + cosB sinB sin (A - B) sinA cosA - cosB sinB
cos (A + B) cosA cosB - sinA sinB cos (A - B) cosA cosB + sinA sinB
tanA+tanB tanA-tanB
tan (A + B) 1- tanA tanB tan (A - B) 1+tanA tanB
Double Angle Formulae
sin2A 2sinA cosA
cos2Acos2A - sin2A2cos2A - 1 1 - 2sin2A
2tanA
tan2A 1-tan2A
The R formula
acos + bsinRcos(), 0 < < 90°, R > 0, tan = b
a
asin + bcosRsin(±), 0 < < 90°, R > 0, tan = b
a
Rcos = a, Rsin = b, R = a2 + b2
Factor Formulae
sinP + sinQ 2sin( P +Q P -Q
2 )cos( 2 )
sinP - sinQ 2cos( P +Q P -Q
2 )sin( 2 )
cosP + cosQ 2cos( P +Q P -Q
2 )cos( 2 )
cosP - cosQ 2sin( P +Q P -Q
2 )sin( 2 )

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