Year 11 - Maths
Problem solving with non right-angled trigonometry
Non right-angled trigonometry
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils explore how to apply knowledge in trigonometry to non right-angled triangles.
Lesson Summary
You will learn to use your knowledge of trigonometry to solve problems.
Key Notes
- Non right-angled trigonometry can be applied in various contexts
- It has the potential to be applied whenever a triangle can be drawn
Vocabulary To Learn
- Trigonometric functions: Trigonometric functions are commonly defined as ratios of two sides of a right-angled triangle for a given angle.
- Sine function: The sine of an angle (sin(θ°)) is the y-coordinate of point P on the triangle formed inside the unit circle.
- Cosine function: The cosine of an angle (cos(θ°)) is the x-coordinate of point P on the triangle formed inside the unit circle.
- Tangent function: The tangent of an angle (tan(θ°)) is the y-coordinate of point Q on the triangle which extends from the unit circle.
Common Mistakes To Avoid
- Pupils may think that they have to use the sine or cosine rule.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Non right-angled trigonometry can be applied in various contexts. It has the potential to be applied whenever a triangle can be drawn.
2. Use this key word in a maths sentence and explain it clearly. 'Trigonometric functions'
Trigonometric functions are commonly defined as ratios of two sides of a right-angled triangle for a given angle. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may think that they have to use the sine or cosine rule. Correction: Encourage pupils to consider all the trigonometric knowledge they have and choose the most appropriate piece for the problem they are dealing with.
More Lessons In This Unit
- Calculating the area of any triangle when the height is not known Study Guide
- Checking and securing understanding of trigonometric ratios Study Guide
- Considering the appropriate trigonometric rule Study Guide
- Drawing the sine and cosine graphs Study Guide
- Drawing the tangent graph Study Guide
- Interpreting the trigonometric graphs Study Guide
- The area of any triangle Study Guide
- The cosine rule Study Guide
- The sine rule Study Guide
- Using the sine and cosine rules Study Guide
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