Trigonometry: Basic and More

Linda Fahlberg-Stojanovska

This is a collection of worksheets for the sine, cosine and tangent function that start at the very basic definitions and work through to the definitions involving the unit circle and radians. They work on an ipad and a tablet. I have put them on these wikispaces pages: [list] [*]http://geogebrawiki.wikispaces.com/Sine [*]http://geogebrawiki.wikispaces.com/Cosine [*]http://geogebrawiki.wikispaces.com/Tangent [/list]


  • 1. Simple Sine
  • 2. Simple Cosine
  • 3. Simple Tangent
  • 4. Sine Values and Nested Triangles
  • 5. Cosine Values and Nested Triangles
  • 6. Tangent Values and Nested Triangles
  • 7. Sin(x) & Unit Circle - Degrees
  • 8. Cos(x) & Unit Circle - Degrees
  • 9. Tan(x) & Unit Circle - Degrees
  • 10. Sin(x) & Unit Circle - Radians
  • 11. Cos(x) & Unit Circle - Radians
  • 12. Tan(x) & Unit Circle - Radians

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Simple Sine

Click and drag point A or point B to change the triangle. (Angle CAB is always a right 90° angle so C depends on A and B).[br]Find the value of sin(α) using your calculator. Use either [br][list][br][*]the sine key and the size of the angle α or [br][*]just divide the sides to find the value of the fraction [math]\frac{a}{c}[/math].[br][/list][br](Both ways of calculating should give you the same value.)
[list=1][br][*]Can you make an isosceles triangle? What is the size of α? What is the value of sin(α)? [br][*]Can you make an equilateral triangle?[br][*]Can you make a 3, 4, 5 triangle with b=3, a=4 and c=5? What is the size of α? What is the value of sin(α)?[br][*]Can you make a 4, 3, 5 triangle with b=4, a=3 and c=5? What is the size of α? What is the value of sin(α)? [br][*]Can you make a triangle withα = 65°? What is the value of sin(65°). Write down the lengths of the sides a and c. Can you make a different triangle α=65°?[br][/list]
– Linda Fahlberg-Stojanovska

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