Year 11 - Maths
Drawing the sine and cosine graphs
Non right-angled trigonometry
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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 draw the graphs for the trigonometric functions sine and cosine.
Key Notes
- The unit circle can help you predict what the graphs of the trigonometric functions will look like
- The sine and cosine graphs have y values between −1 and 1
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.
Common Mistakes To Avoid
- Pupils may have their calculator set to radians instead of degrees.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The unit circle can help you predict what the graphs of the trigonometric functions will look like. The sine and cosine graphs have y values between −1 and 1.
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 have their calculator set to radians instead of degrees. Correction: The first check for understanding is designed to catch this but it is worth checking that the correct unit of measurement is being used throughout the lesson.
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 tangent graph Study Guide
- Interpreting the trigonometric graphs Study Guide
- Problem solving with non right-angled trigonometry 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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