- 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.
approx. 10 hrs
6 topics
20 concepts
Develop mastery in applying trigonometric relationships to solving related practical problems.
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.
This learning program is made up of the following 6 topics, broken down into 20 concepts.
Define the sine, cosine and tangent ratios for angles in right-angled triangles
Identify the hypotenuse, adjacent sides and opposite sides on a right angles triangle
Rounding angles to the nearest degree, minute or second
Find the size in degrees of unknown angles using SOH CAH TOA in right-angled triangles
Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees
Use the calculator to find unknown angles using sine, cosine and tangent functions
Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees and minutes
Find the size in degrees and minutes of unknown angles using SOH CAH TOA in right-angled triangles
Solve a variety of practical problems involving angles of elevation and depression of right-angled triangles
Calculate a bearing from a given diagram
Construct a bearing diagram from a worded problem
Interpret three-figure (or true) bearings and compass bearings
Solve worded problems involving bearings using SOH CAH TOA
Use the sine rule to find unknown sides and angles of a non-right-angled triangle including the ambiguous case
Use the cosine rule to find unknown sides and angles of a non-right-angled triangle
Apply the appropriate rule to find unknowns in non-right-angled triangles
Solve worded problems involving bearings and angles of elevation and depression of non-right-angled triangles
Select the appropriate area formula to solve problems involving non-right-angled triangles
Finding the area of a triangle using Heron’s formula
Use the sine area formula to find the area of a non-right-angled triangle
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