- Mathematics Standard
- Year 12
Non-right-angled Trigonometry
approx. 10 hrs
7 topics
24 concepts
Develop mastery in solving problems involving non-right-angled triangles.
approx. 10 hrs
7 topics
24 concepts
Develop mastery in solving problems involving non-right-angled triangles.
In this learning program, students will explore the rules to solve practical problems involving non-right-angled triangles. We help students apply their understanding of trigonometry to investigate navigational methods, including compass and true bearings and radial surveys.
This learning program is made up of the following 7 topics, broken down into 24 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
Construct a bearing diagram from a worded problem
Calculate a bearing from a given diagram
Interpret three-figure (or true) bearings and compass bearings
Solve worded problems involving bearings using SOH CAH TOA
Finding an obtuse angle from a trigonometric ratio
Finding a trigonometric ratio of an obtuse angle
Find a side length given the area of a non-right-angled triangle
Use the sine area formula to find the area of a non-right-angled triangle
Use the cosine rule to find unknown sides and angles of a non-right-angled triangle
Solve worded problems involving bearings and angles of elevation and depression of non-right-angled triangles
Apply the appropriate rule to find unknowns in non-right-angled triangles
Use the sine rule to find unknown sides and angles of a non-right-angled triangle including the ambiguous case
Calculate the perimeter of a radial survey
Calculate the area of a radial survey
Conduct a radial survey
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