C3 Cheat Sheet

Once upon a time, I typed up all the formulas and handy things I could find because I could not remember them.

Here it is.

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  • Created by: Egg
  • Created on: 03-04-11 19:40
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Core 3 Cheat Sheet
Trigonometry
Degrees Radians Sinx Cosx Tanx
0° 0 0 1 0
1 3 1
30° 6 2 2 3
2 2
45° 4 2 2 1
3 1
60° 3 2 2 3
90° 1 0
2
Reciprocal functions:
1
sec = cos 1
cosec = sin 1 or
cot = tan cos
sin
Two further identities derived from sin2 + cos2cosec2 are...
1 + tan2sec2 and 1 + cot2cosec2
Inverse functions:
Name Domain Range
Arcsin - 1x1 -
2arcsinx 2
Arccos - 1x1 0arccosx
Arctan xR -
2arctanx 2
Addition formulae:
sin (A + B) sinAcosB + cosAsinB sin (A - B) sinAcosB - cosAsinB
cos (A + B) cosAcosB - sinAsinB cos (a - B) cosAcosB + sinAsinB
tan(A + B) tanA+tanB tan tanA-tanB
1-tanAtanB (A - B)1+tanAtanB
Double angle formulae:
sin2A2sinAcosA

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Acos2A - sin2A 2cos2A - 1 1 - 2sin2A
2tanA
tan2A1-tan2A
asin + bcos :
asinbcosRsin() , with R > 0 and 0 < < 90°
acosbsinRcos() with R > 0 and 0 < < 90°
Where Rcos = a , Rsin = b and R = a2 + b2
Products of sines or cosines:
2sinAcosBsin (A + B) + sin(A - B) 2cosAcosBcos (A + B) + cos(A - B)
2cosAsinBsin (A + B) - sin(A - B) 2sinAsinB - [cos (A + B)…read more

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Differentiating lnx:
dy 1
y = ln x dx = x
dy
y = ln [f (x)] dx = ff((x)
x)
Differentiating trig
dy
y = sin x dx = cos x
dy
y = sin[f (x)] dx = f cos [f (x)]
dy
y = cos x dx =- sin x
dy
y = cos[f (x)] dx =- f sin [f (x)]
dy
y = tan x dx = sec2 x
dy
y = cosec x dx =- cosec xcot x
dy
y =…read more

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