Trigonometric Functions

From the study guide

Course Outline

  1. Angles and Their Measurement
  2. Degree and Radian Conversion
  3. Arc Length and Circular Motion
  4. Unit-Circle Trigonometric Functions
  5. Signs Domains and Ranges
  6. Periodicity and Function Behaviour
  7. Sum and Difference Identities
  8. Multiple-Angle and Product Identities

1. Angles and Their Measurement

Key Concepts & Definitions

  • Angle: the measure of rotation of a ray about its initial point, with the original ray called the initial side, the rotated ray called the terminal side, and the rotation point called the vertex

★ Must-know

📌 An anticlockwise rotation produces a positive angle, whereas a clockwise rotation produces a negative angle.

Further detail

  • One degree is one three-hundred-and-sixtieth of a revolution, with 1° = 60′ and 1′ = 60″.

Memory Hook

Anticlockwise rotation is positive, whereas clockwise rotation is negative.

2. Degree and Radian Conversion

Key Concepts & Definitions

  • Radian: the angle subtended at the centre of a unit circle by an arc of length one unit
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Practice quiz preview

1. What are the initial side, terminal side, and vertex of an angle?

2. A ray rotates clockwise from its initial position to its terminal position. How is the resulting angle classified?

3. How is one radian defined geometrically?

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Flashcard preview

What is an angle in geometry?

The measure of rotation of a ray about its initial point.

What is the original ray in an angle called?

The initial side.

What is the rotated ray in an angle called?

The terminal side.

What is the rotation point of an angle called?

The vertex.

What kind of rotation produces a positive angle?

An anticlockwise rotation.

What kind of rotation produces a negative angle?

A clockwise rotation.

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Frequently asked questions

What does the Trigonometric Functions study guide cover?

It covers the core concepts of Trigonometric Functions, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.

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How many questions are in the Trigonometric Functions quiz?

The practice quiz has 21 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.

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How do I study Trigonometric Functions with flashcards?

There are 58 flashcards on Trigonometric Functions, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.

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