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An introduction to Trigonometry.

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3 pages
2025/2026 Written for academic year
Institution
12th Grade
Course
Mathematics
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This is an elementary introduction to everything trigonometry to come. Once you understand this part, you will not have any challenge whatsoever trigonometry.

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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

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June 2, 2026
Number of pages
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Written in
2025/2026
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  • trigonometry
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  • how to study trigonometry
  • simplifying trigonometry

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