Trigonometry
- Sciences
- 100 level
- 2 credit units
- 131 pages
- 7 units
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.
About this course
- Difficulty
- Beginner
- Study hours
- 91 hours
- Maths
- Intermediate
- Content
- Theoretical, practical, problem solving
- Practical work
- No
- Assignments
- Tutor marked assessments
- Final examination
What you'll read
The real module and unit structure of MTH133, taken from the course material NOUN publishes.
- UNIT 1: TRIGONOMETRIC RATIOS IPage 6
- UNIT 2: TRIGONOMETRIC RATIOS IIPage 28
- UNIT 3 INVERSE TRIGONOMETRIC FUNCTIONS OR CIRCULAR FUNCTIONSPage 41
- UNIT 4: GRAPHS OF TRIGONOMETRIC FUNCTION AND THEIR RECIPROCALSPage 59
- UNIT 5: TRIGONOMETRIC IDENTITIES AND EQUATIONSPage 74
- UNIT 6: SOLUTION OF TRIANGLES AND HEIGHTS AND DISTANCESPage 95
- UNIT 7: BEARINGPage 116
One paragraph, so you can see how it reads
MTH133 · UNIT 1: TRIGONOMETRIC RATIOS I
The table below gives you an idea of how the units and the number of weeks, you are required to cover the units (working at the rate of 3 hours a week.)
What you should be able to do
- Define trigonometric ratios and their reciprocals.
- Compute trigonometric ratios of any given angle.
- Draw the graphs of trigonometric functions.
- State and derive the sine and cosine rules.
- Apply trigonometric ratios to problems on height, distances and bearing correctly.
What it prepares you for
- Surveyor
- Navigator
- Engineer
- Architect
- Pilot
- Engineering
- Navigation
- Surveying
- Architecture
- Astronomy
Where it gets hard
The units students slow down on, and what makes each one heavy.
- Module 3: Trigonometric Identities and Equations
Unit 5: Trigonometric Identities and trigonometric equations
Requires strong algebraic manipulation skills and understanding of various trigonometric identities to simplify and solve complex equations.
- Module 4: Applications of Trigonometry
Unit 6: Solution of triangle (sine and cosine values) and Angles of elevation and depression.
Involves applying trigonometric ratios to solve real-world problems on heights, distances, and bearings, requiring spatial visualization and problem-solving skills.
A suggested way through it
13 weeks, about 69 hours in total. Yours will differ.
- Week 1Module 1: Trigonometric Ratios
Unit 1: Trigonometric ratios I · 3 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 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 2Module 2: Trigonometric Functions and Graphs
Unit 3: Inverse of trigonometric ratios · 3 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 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 3Module 3: Trigonometric Identities and Equations
Unit 5: Trigonometric Identities and trigonometric equations · 3 hours
State and prove fundamental trigonometric identities.. Simplify and solve trigonometric equations.. Apply trigonometric identities to solve problems..
- Week 4Module 4: Applications of Trigonometry
Unit 6: Solution of triangle (sine and cosine values) and Angles of elevation and depression. · 3 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 5Module 4: Applications of Trigonometry
Unit 7: Bearings. · 3 hours
Define and discuss bearings.. Solve problems on bearings using trigonometric ratios.. Determine the direction of movement accurately..
- Week 6Module 1: Trigonometric Ratios
Unit 1: Trigonometric ratios I · 3 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 hours
Review use of trigonometric tables.. Practice problems on finding values of angles.. Solve tutor-marked assignment 1..
- Week 7Module 2: Trigonometric Functions and Graphs
Unit 3: Inverse of trigonometric ratios · 3 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 hours
Review graphs of trigonometric functions and their reciprocals.. Practice problems on reading values from graphs.. Solve tutor-marked assignment 2..
- Week 8Module 3: Trigonometric Identities and Equations
Unit 5: Trigonometric Identities and trigonometric equations · 6 hours
Review fundamental trigonometric identities.. Practice problems on proving trigonometric identities.. Solve tutor-marked assignment 3..
- Week 9Module 4: Applications of Trigonometry
Unit 6: Solution of triangle (sine and cosine values) and Angles of elevation and depression. · 3 hours
Review sine and cosine rules.. Practice problems on solving triangles.. Solve tutor-marked assignment 4..
Unit 7: Bearings. · 3 hours
Review definition and problems on bearings.. Practice problems on bearings using trigonometric ratios.. Solve tutor-marked assignment 5..
- Week 10Module 1: Trigonometric Ratios
Unit 1: Trigonometric ratios I · 6 hours
Solve additional problems on trigonometric ratios and their reciprocals.. Focus on complex problems involving multiple steps.. Prepare for mid-course assessment..
- Week 11Module 2: Trigonometric Functions and Graphs
Unit 4: Graph of trigonometric ratios · 6 hours
Solve additional problems on inverse trigonometric functions and graphs.. Focus on problems involving composite functions.. Prepare for mid-course assessment..
- Week 12Module 3: Trigonometric Identities and Equations
Unit 5: Trigonometric Identities and trigonometric equations · 6 hours
Solve additional problems on trigonometric identities and equations.. Focus on proving complex trigonometric identities.. Prepare for final examination..
- Week 13Module 4: Applications of Trigonometry
Unit 7: Bearings. · 6 hours
Solve additional problems on heights, distances, and bearings.. Focus on real-life applications of trigonometry.. Prepare for final examination..
Preparing for the exam
- Create flashcards for trigonometric identities and formulas.
- Practice solving a variety of trigonometric equations.
- Draw diagrams to visualize problems involving heights, distances, and bearings.
- Review past tutor-marked assignments and identify areas of weakness.
- Allocate sufficient time for revision and practice before the examination.
Questions students ask about this course
What is MTH133 about?
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.
How many units does MTH133 have?
MTH133, Trigonometry, has 7 units across 1 module, over 131 pages of course material. You can read it one unit at a time.
How many credit units is MTH133?
MTH133 carries 2 credit units, at 100 level in Sciences.
Is MTH133 hard?
MTH133 is rated beginner level, with intermediate mathematical content. It is mostly theoretical, practical and problem solving work.
How long does MTH133 take to study?
About 91 hours of study, spread across its 7 units.
How is MTH133 assessed?
MTH133 is assessed by assignments, tutor marked assessments and final examination.
What can I do with MTH133?
Surveyor, Navigator, Engineer, Architect and Pilot.