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MTH133Sciences2 Unitsbeginner

Trigonometry

This course introduces students to the fundamentals of trigonometry and its practical applications. It covers trigonometric ratios, inverse trigonometric functions, graphs, identities, and equations. Students will learn to solve triangles, determine heights and distances, and understand bearings. The course aims to provide a solid foundation in trigonometry for further studies in mathematics, sciences, and engineering.

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91h
Study Time
13
Weeks
7h
Per Week
intermediate
Math Level
Course Keywords
TrigonometryRatiosIdentitiesEquationsBearings

Course Overview

Everything you need to know about this course

Course Difficulty

Beginner Level
Perfect for newcomers to the field
35%
beginner
📊
Math Level
Moderate Math
📖
Learning Type
Theoretical Focus

Course Topics

Key areas covered in this course

1

Trigonometric Ratios

2

Inverse Trigonometric Functions

3

Graphs of Trigonometric Functions

4

Trigonometric Identities

5

Trigonometric Equations

6

Solution of Triangles

7

Heights and Distances

8

Bearings

Total Topics8 topics

Ready to Start

No specific requirements needed

This course is designed to be accessible to all students. You can start immediately without any prior knowledge or specific preparation.

Assessment Methods

How your progress will be evaluated (3 methods)

assignments

Comprehensive evaluation of course material understanding

Written Assessment

tutor-marked assessments

Comprehensive evaluation of course material understanding

Written Assessment

final examination

Comprehensive evaluation of course material understanding

Computer Based Test

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Study Schedule Beta

A structured 13-week journey through the course content

Week
1

Module 1: Trigonometric Ratios

6h

Unit 1: Trigonometric ratios I

3 study hours
  • Define trigonometric ratios (sine, cosine, tangent) and their reciprocals.
  • Practice calculating trigonometric ratios for acute angles.
  • Solve problems involving right-angled triangles.

Unit 2: Trigonometric ratios II

3 study hours
  • Use trigonometric tables to find values of trigonometric ratios.
  • Determine the signs of trigonometric ratios in different quadrants.
  • Solve problems involving trigonometric ratios of any angle.
Week
2

Module 2: Trigonometric Functions and Graphs

6h

Unit 3: Inverse of trigonometric ratios

3 study hours
  • Define inverse trigonometric functions (arcsin, arccos, arctan).
  • Find inverse trigonometric functions of given values using tables.
  • Solve problems involving inverse trigonometric functions.

Unit 4: Graph of trigonometric ratios

3 study hours
  • Draw graphs of trigonometric functions (sine, cosine, tangent).
  • Determine the periodicity and amplitude of trigonometric functions.
  • Read values of angles from the graphs.
Week
3

Module 3: Trigonometric Identities and Equations

3h

Unit 5: Trigonometric Identities and trigonometric equations

3 study hours
  • State and prove fundamental trigonometric identities.
  • Simplify and solve trigonometric equations.
  • Apply trigonometric identities to solve problems.
Week
4

Module 4: Applications of Trigonometry

3h

Unit 6: Solution of triangle (sine and cosine values) and Angles of elevation and depression.

3 study hours
  • State and derive the sine and cosine rules.
  • Apply the sine and cosine rules to solve triangles.
  • Solve problems involving heights, distances, and bearings.
Week
5

Module 4: Applications of Trigonometry

3h

Unit 7: Bearings.

3 study hours
  • Define and discuss bearings.
  • Solve problems on bearings using trigonometric ratios.
  • Determine the direction of movement accurately.
Week
6

Module 1: Trigonometric Ratios

6h

Unit 1: Trigonometric ratios I

3 study hours
  • Review trigonometric ratios and their reciprocals.
  • Practice problems on trigonometric ratios of any angle.
  • Solve tutor-marked assignment 1.

Unit 2: Trigonometric ratios II

3 study hours
  • Review use of trigonometric tables.
  • Practice problems on finding values of angles.
  • Solve tutor-marked assignment 1.
Week
7

Module 2: Trigonometric Functions and Graphs

6h

Unit 3: Inverse of trigonometric ratios

3 study hours
  • Review definition and notation of inverse trigonometric functions.
  • Practice problems on finding inverse trigonometric functions.
  • Solve tutor-marked assignment 2.

Unit 4: Graph of trigonometric ratios

3 study hours
  • Review graphs of trigonometric functions and their reciprocals.
  • Practice problems on reading values from graphs.
  • Solve tutor-marked assignment 2.
Week
8

Module 3: Trigonometric Identities and Equations

6h

Unit 5: Trigonometric Identities and trigonometric equations

6 study hours
  • Review fundamental trigonometric identities.
  • Practice problems on proving trigonometric identities.
  • Solve tutor-marked assignment 3.
Week
9

Module 4: Applications of Trigonometry

6h

Unit 6: Solution of triangle (sine and cosine values) and Angles of elevation and depression.

3 study hours
  • Review sine and cosine rules.
  • Practice problems on solving triangles.
  • Solve tutor-marked assignment 4.

Unit 7: Bearings.

3 study hours
  • Review definition and problems on bearings.
  • Practice problems on bearings using trigonometric ratios.
  • Solve tutor-marked assignment 5.
Week
10

Module 1: Trigonometric Ratios

6h

Unit 1: Trigonometric ratios I

6 study hours
  • Solve additional problems on trigonometric ratios and their reciprocals.
  • Focus on complex problems involving multiple steps.
  • Prepare for mid-course assessment.
Week
11

Module 2: Trigonometric Functions and Graphs

6h

Unit 4: Graph of trigonometric ratios

6 study hours
  • Solve additional problems on inverse trigonometric functions and graphs.
  • Focus on problems involving composite functions.
  • Prepare for mid-course assessment.
Week
12

Module 3: Trigonometric Identities and Equations

6h

Unit 5: Trigonometric Identities and trigonometric equations

6 study hours
  • Solve additional problems on trigonometric identities and equations.
  • Focus on proving complex trigonometric identities.
  • Prepare for final examination.
Week
13

Module 4: Applications of Trigonometry

6h

Unit 7: Bearings.

6 study hours
  • Solve additional problems on heights, distances, and bearings.
  • Focus on real-life applications of trigonometry.
  • Prepare for final examination.

This study schedule is in beta and may not be accurate. Please use it as a guide and consult the course outline for the most accurate information.

Course PDF Material

Read the complete course material as provided by NOUN.

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Study Tips & Exam Preparation

Expert tips to help you succeed in this course

1

Create flashcards for trigonometric identities and formulas.

2

Practice solving a variety of trigonometric equations.

3

Draw diagrams to visualize problems involving heights, distances, and bearings.

4

Review past tutor-marked assignments and identify areas of weakness.

5

Allocate sufficient time for revision and practice before the examination.

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