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Concept MapUSTET · MathematicsReal content

USTET MathematicsTrigonometryConcept Map

A visual concept map is the fastest way to remember how Trigonometry connects to the rest of USTET Mathematics. This page shows the key concepts, sub-topics, and relationships you need to anchor in memory before sitting for the USTET 2026.

Exam context

On the USTET 2026, the Mathematics subtest carries a "Core section" weight in University of Santo Tomas's pattern. Trigonometry lands at position 7th out of 9 in the standard review order. Target score is Competitive overall score, and roughly a meaningful share of items come from Mathematics on a typical USTET paper.

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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