• Mathematics General
• Year 11

# Applications of Trigonometry

approx. 10 hrs

6 topics

20 concepts

Develop mastery in applying trigonometric relationships to solving related practical problems.

Available in
ACT NT QLD SA TAS VIC WA

### Overview

In this learning program, students will explore the rules to find solutions to a range of two-dimensional models involving non-right-angled triangles. We will also investigate the impact of obtuse angles on the cosine and sine ratios.  Students will gain proficiency in applying trigonometric relationships to solve practical problems including the use of angles of elevation and depression, and the use of three figure bearings in navigation.

### Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 20 concepts.

• #### Defining Trigonometric Ratios 2 concepts

1. Define the sine, cosine and tangent ratios for angles in right-angled triangles

2. Identify the hypotenuse, adjacent sides and opposite sides on a right angles triangle

• #### Finding Unknown Sides and Angles 6 concepts

1. Rounding angles to the nearest degree, minute or second

2. Find the size in degrees of unknown angles using SOH CAH TOA in right-angled triangles

3. Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees

4. Use the calculator to find unknown angles using sine, cosine and tangent functions

5. Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees and minutes

6. Find the size in degrees and minutes of unknown angles using SOH CAH TOA in right-angled triangles

• #### Angles of Elevation and Depression 1 concept

1. Solve a variety of practical problems involving angles of elevation and depression of right-angled triangles

• #### Introduction to Bearings 4 concepts

1. Construct a bearing diagram from a worded problem

2. Calculate a bearing from a given diagram

3. Interpret three-figure (or true) bearings and compass bearings

4. Solve worded problems involving bearings using SOH CAH TOA

• #### Rules for non-right-angled triangles 4 concepts

1. Use the cosine rule to find unknown sides and angles of a non-right-angled triangle

2. Solve worded problems involving bearings and angles of elevation and depression of non-right-angled triangles

3. Apply the appropriate rule to find unknowns in non-right-angled triangles

4. Use the sine rule to find unknown sides and angles of a non-right-angled triangle including the ambiguous case

• #### Area of non-right-angled triangles 3 concepts

1. Select the appropriate area formula to solve problems involving non-right-angled triangles

2. Finding the area of a triangle using Heron’s formula

3. Use the sine area formula to find the area of a non-right-angled triangle

### What you'll get

Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Applications of Trigonometry

Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program?

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Starting at

\$49(inc. GST)

per session

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