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Exploring Trigonometric Functions: The SIN, COS, and TAN Graphs

Dive into Chapter 8 to understand trigonometric functions through graphs and quadrants. Learn the properties of sine, cosine, and tangent graphs, including their positive quadrants and trig ratios. Discover special angles and exact values to ace your homework. Enhance your knowledge with transformation rules and examples.

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Exploring Trigonometric Functions: The SIN, COS, and TAN Graphs

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  1. Chapter 8 Graphs of Trigonometric Functions

  2. Using Quadrants to measure angles

  3. The SIN graph – learn its properties y = sinx

  4. The COS graph – learn its properties y = cosx

  5. The TAN graph – learn its properties y = tanx

  6. Which quadrants are positive for Sin x, Cos x and Tan x?

  7. Express as trig ratios of acute angles • Sin (-100°) • Cos 330° • Tan 500°

  8. Express as trig ratios of acute angles

  9. Special angles: 60°, 30°, 45°Finding exact trig ratios involving these values

  10. Learn these trig ratios

  11. Exact values of trig ratios – using your knowledge • Ex 8D Q1 a – e. Homework • Express the following as trig ratios of either 30°, 45° or 60°, • and hence find their exact values. • Sin 135° • Sin (-60°) • Sin 330° • Sin 420°

  12. Transformations of trig graphs Remember the transformation rules from C1!!

  13. Examples – have a go at these Now do Ex 8G Q5

  14. Ex 8G Q5

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