# Formulas

Document Sample

```					Vocabulary                   Formula
Trig Ratios: SOHCAHTOA          Sine = opposite/hypotenuse
Tangent = opposite/adjacent or
sin/cos
Reciprocal of SOHCAHTOA       Cosecant =
 hypotenuse/opposite
 1/sin

 Secant =
 1/cos

 Cotangent =
 cos/sin
 1/tan
SOHCAHTOA Table
0     30      45      60      90
√2      √3
sin   0     ½          /2      /2   1
√3      √2
Cos   1        /2     /2    ½       0
√3
tan   0        /3   1       √3      undefined

Unit Circle                       ½ circle = π
 1 circle = 2π
DegreesRadians              Degree · π/180º
Arc Length                   s=rø
Sector Area                  Area = ½ r2ø
Law of Sines                 SinA = SinB = SinC
-Applies to: AAS, ASA, ASS     a       b      c

Law of Cosines               a2= b2 + c2 - 2bccos<A
-Applies to: SAS, SSS
Area of a Triangle           Area = ½ · two sides · sine<between sides
Graphing                     y = a ± b·cos/sin (c) ± d
 a = center line
 b = amplitude
 cos/sin = either cosine or sine
 c = frequency
 d = shift
y = CL ± Amp·cos/sin(Freq)±Shift

```
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