# Trigonometry - PowerPoint PPT Presentation

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## Trigonometry

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### This is a informative presentation on trigonometry and its identities. – PowerPoint PPT presentation

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Title: Trigonometry

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TRIGONOMETRY FUNCTIONS
FUNCTION ABBREVIATION DESCRIPTION
SINE SIN OPPOSITE/HYPOTENUSE
COSECANT COSEC HYPOTENUSE/OPPOSITE
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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)
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PYTHAGOREAN IDENTITIES
• sin2(a) cos2(a) 1
• tan2 (a) 1 sec2(a)
• 1 cot2(a) cosec2(a)

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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)

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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)

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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)

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HALF ANGLE FORMULAE
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