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Trigonometry - Coggle Diagram
Trigonometry
Similar Triangles
Formula
AB/XY=BC/YZ=AC/XZ
Example
(SAS~)
Two pairs of corresponding sides are proportional and contained angles are equal
(AA~)
Any two pairs of corresponding angles are equal
(SSS~)
All corresponding sides are proportional
Primary Trigonometric Ratios
Opposite
Adjacent
Hypothenuse
SOH CAH TOA
Formula's
COS(A)= Adjacent/Hypothenuse
Example
Tan(A)= Opposite/Adjacent
Sin(A)= Opposite/Hypothenuse
Congruent Triangles
Tests for Congruency
SAS: Side then an angle and two sides are equal
Example
ASA: Angle and then a side are equal
Example
SSS: All sides are equal
Example
AAS angle then an angle then a side are equal
Example
Congruent Triangles properties and notation
Sin Law
Formula's
For side's: a/SinA=b/SinB=c/SinC
Example
For Angle's: SinA/a=SinB/b=SinC/c
Example
Cosine Law
Formula's
Sides
c^2=a^2+b^2-2abcos(C)
Example
b^2=a^2+c^2-2accos(B)
a^2=b^2+c^2-2bccos(A)
Angles
cosC= a^2+b^2-c^2/2ab
Example
:
CosB=a^2+c^2-b^2/2ac
CosA= b^2+c^2-a^2/2bc
