useful formulas

# useful formulas - a b c sinA sinB sinC = = = sinA sinB sinC...

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USEFUL FORMULAS IN TRIGONOMETRY MULTIPLE ANGLE IDENTITIES: 1. sin(A B) sinAcosB cosAsinB 2. cos(A B) cosAcosB sinAsinB tanA tanB 3. tan(A B) 1 tanAtanB 4. sin(A B) sinAcosB cosAsinB 5. cos(A B) cosAcosB sinAsinB tanA tanB 6. tan(A B) 1 tanAtanB + = + + = + + = - + = - + + = + = - - = - = - = + - = + + + - - = - = = = + DOUBLE ANGLE IDENTITIES: 2 2 2 2 2 7. sin(2A) 2sinAcosA a)cos A sin A 8. cos(2A) b)2cos A 1 c)1 2sin A 2tanA 9. tan(2A) 1 tan A = - = - - = - LAW OF SINES LAW OF COSINES
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Unformatted text preview: a b c sinA sinB sinC = = = sinA sinB sinC a b c = = = 2 2 2 2 2 2 2 2 2 a b c 2bccosA b a c 2accosB c a b 2abcosC = +--= +--= +--2 2 2 2 2 2 2 2 2 b c a cosA 2bc a c b cosB 2ac a b c cosC 2ab +-+ = +-+---= +-+ =...
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## This note was uploaded on 11/16/2011 for the course MAC 1114 taught by Professor Cohen during the Fall '09 term at Santa Fe College.

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