ITS ALL ABOUT TRIGONOMETRY

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TRIGONOMETRY FUNCTIONS

FUNCTION ABBREVIATION DESCRIPTION

SINE SIN OPPOSITE/HYPOTENUSE

COSINE COS ADJACENT/HYPOTENUSE

TANGENT TAN OPPOSITE/ADJACENT

COTANGENT COT ADJACENT/OPPOSITE

SECANT SEC HYPOTENUSE/ADJACENT

COSECANT COSEC HYPOTENUSE/OPPOSITE

RECIPROCAL IDENTITIES

? sin(a) I/cosec(a) ? cos(a) 1/sec(a) ?

tan(a) 1/cot(a) sin(a)/cos(a) ? cot(a)

1/tan(a) cos(a)/sin(a) ? sec(a) 1/sec(a) ?

cosec(a) 1/cosec(a)

PYTHAGOREAN IDENTITIES

- sin2(a) cos2(a) 1
- tan2 (a) 1 sec2(a)
- 1 cot2(a) cosec2(a)

ANGLE SUM AND DIFFERENCE TRIGONOMETRY FORMULAE

- sin(a ß) sin(a)cos(ß) cos(a)sin(ß)
- sin(a ß) sin(a)cos(ß) cos(a)sin(ß)
- cos(a ß) cos(a)cos(ß) sin(a)sin(ß)
- cos(a ß) cos(a)cos(ß) sin(a)sin(ß)
- tan(a ß) tan(a) tan(ß) / 1 -

tan(a)tan(ß) - tan(a ß) tan(a) - tan(ß) / 1

tan(a)tan(ß)

PRODUCTS AS SUM FORMULAE

sin cos ß ½sin ( ß) sin ( - ß)

- sin(a)cos(ß) ½sin(a ß) sin(a ß)
- cos(a)sin(ß) ½sin(a ß) - sin(a ß)
- cos(a)cos(ß) ½cos(a ß) cos(a ß)
- sin(a)sin(ß) -½cos(a ß) - cos(a ß)

DOUBLE ANGLE FORMULAE

- sin(2a) 2sin(a)cos(a)
- cos(2a) cos2(a) - sin2(a) 1 - 2sin2(a)

2cos2(a) - 1 - tan(2a) 2tan(a) / 1 - tan2(a)

HALF ANGLE FORMULAE

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