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Sere o 10. i. 2 13, Important Trigonometric Formulae sin(A+B) # sinAcosB + cosa sin’ sin(A-B) = sinAcosB - cosA sinB cos(A+B) * cosAcosB « sin sinB cos(A-B) = cosAcosB + sind sinB Ae tanA + tanB i 1+ tanAtanB tan - tanB 1+ tanAtanB tan(A-B) * cot(A+B) Ter] cotA cotB +1 Cane B-cHA sin2A * (a) 2sinAcosA 2tanA ©) FantA con2A = (a) cosA «sin'A (b) 1-2sintA (¢) 2eos?A 1 (a) Lotania 14 tan'A . —atanA 1-tav’A sindA = sind « 4sin’A CORSA = 4co8°A = eon i. 15, 16. 17. SREB Ss FSSsSsRRser & Stand « tan’A mA eh sin(-A) == sinA c0x(-A) * cou sin’A + cos'A® 1 1+ tan'A = sec?A 1+ COPA = cosectA 1=cos2A = 2sin'A 1+ cos2A = 2cos?A 1=sin2A * (cosA - sinAy 14 sin2A * (cosA + sind}! 14 tanA z Teta “CG? 4) 1-tanA & iad, tan(=- A) sin’A - sin’B = sin(A*B) sin(A -B) cos'A - sin’B = cos(A+B) cos -B) cos'A « cos'B » -sin(A+B) sin(A-B) sinAcoaB # sin(A+B) + sin(A -B) 2cosAsinB = sin(A+B) -sin(A-B) 2cosAcosB = cos(A*B) + cos(A-B) 2sinAsinB * cos{A-B) - cos(A +B) Degrees] Radians| | sind cosd tang cosecd | secé cole 0° 0 0 1 0 undefined | 4 undefinec wor yr og ft 2 fa) x 0 2 7 va a “st 14 fi a] « |r us 2 v2 ar ry) ge 1) 3 2 |p 1 a S| a 3 i B 90° roy 0 undefined 1 undefined | 0 2 120° an B 3 2 |-2 a 3 z 2 a VB 135° 3m Ak -1 2 | -v2 “1 a” 160° 5 1 a 4 2 2 3 v7. 7 7 OF G “3 v8 180° t |0 “1 0 undefined | -1 undefinec (a) Wah OP & 27 ratio will be changed, (0) Sign of armwer, depends on position of intial ratio, sin? A) = cosA sin(+ A) = cosA sin( 180° + A) = -sinA sin(27 + A) = -cosA sin(360"+ A) = sind 
