PMAEE Mathematics — TrigonometryConcept Map
Concept maps turn Trigonometry from a list of facts into a connected picture. For PMAEE Mathematics, this visual makes it easier to see how Trigonometry relates to other chapters Philippine Military Academy tests in the same paper.
Exam context
Philippine Military Academy runs the Philippine Military Academy Entrance Examination on August 2026 (expected). Its Mathematics section sits under a "Core" weighting, and Trigonometry is the 7th chapter in the 9-chapter PMAEE Mathematics rotation. The PMAEE passing mark is Top scorers meeting quotas per region, and the most recent 2026 paper drew about a meaningful share of questions from Mathematics.
Trigonometry - Concept map
Central Concept
Trigonometry
Related Concepts
Concept
Angles and Measurements
Sub Concepts
- Degrees and Radians
- Standard Position
- Coterminal Angles
- Reference Angles
- Quadrants
Relationship To Central
Foundation for all trigonometric calculations
Concept
Unit Circle
Sub Concepts
- Equation x² + y² = 1
- Coordinate Points
- Arc Length
- Terminal Points
Relationship To Central
Core geometric foundation for trigonometric functions
Concept
Trigonometric Functions
Sub Concepts
- Primary Functions (sin, cos, tan)
- Reciprocal Functions (csc, sec, cot)
- Function Values
- Domain and Range
Relationship To Central
Primary tools for solving trigonometric problems
Concept
Special Angles
Sub Concepts
- 30-60-90 Triangle
- 45-45-90 Triangle
- Common Angle Values
- Function Values Table
Relationship To Central
Key reference values for calculations
Concept
Trigonometric Identities
Sub Concepts
- Pythagorean Identities
- Reciprocal Identities
- Ratio Identities
- Sum and Difference Formulas
Relationship To Central
Essential relationships for problem solving
Concept
Triangle Applications
Sub Concepts
- Law of Sines
- Law of Cosines
- Law of Tangents
- Right Triangle Applications
Relationship To Central
Real-world problem solving using trigonometric principles
Concept Connections
To
Trigonometric Functions
From
Unit Circle
Strength
strong
Relationship
Provides coordinate-based definitions for all trigonometric functions
To
Trigonometric Functions
From
Special Angles
Strength
strong
Relationship
Gives exact values for commonly used angles
To
Unit Circle
From
Angles and Measurements
Strength
strong
Relationship
Determines position and coordinates on the circle
To
Trigonometric Functions
From
Trigonometric Identities
Strength
strong
Relationship
Provides relationships between different function values
To
Trigonometric Functions
From
Triangle Applications
Strength
strong
Relationship
Applies function values to solve real-world problems
To
Triangle Applications
From
Special Angles
Strength
moderate
Relationship
Provides exact values for solving triangle problems efficiently
To
Triangle Applications
From
Trigonometric Identities
Strength
moderate
Relationship
Enables algebraic manipulation in complex triangle problems
To
Special Angles
From
Angles and Measurements
Strength
moderate
Relationship
Provides the measurement system for identifying special angle values
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