Tuesday, March 10, 2026 3:42 PM
Category Identity / Formula Notes / Usage
The Map Pythagoras (Radius is always
positive)
The Map Opposite/ Hypotenuse
The Map Adjacent/ Hypotenuse
The Map Slope
Quotient Use to simplify fractions
Square The "God" Identity
Square Derived from above
Square Derived from above
Double Angle Expanding a double angle
Double Angle Version 1
Double Angle Version 2 (Best for Half-Angles)
Double Angle Version 3 (Best for Half-Angles)
Compound Watch the signs
Compound Sign flips in the middle
Quadrant Angle Range Coordinates Positive Ratio
Q1 ALL ( )
TRIGONOMETRY Page 1
Category Identity / Formula Notes / Usage
The Map Pythagoras (Radius is always
positive)
The Map Opposite/ Hypotenuse
The Map Adjacent/ Hypotenuse
The Map Slope
Quotient Use to simplify fractions
Square The "God" Identity
Square Derived from above
Square Derived from above
Double Angle Expanding a double angle
Double Angle Version 1
Double Angle Version 2 (Best for Half-Angles)
Double Angle Version 3 (Best for Half-Angles)
Compound Watch the signs
Compound Sign flips in the middle
Quadrant Angle Range Coordinates Positive Ratio
Q1 ALL ( )
TRIGONOMETRY Page 1