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Understanding Radians, Special Angles, and Trigonometric Functions

This review covers the essential concepts of trigonometry, focusing on radians and their conversion to degrees, alongside special angles such as π/2, π/3, 3π/4, and more. It elaborates on the unit circle, including key coordinates and the signs of trigonometric functions based on quadrants. Definitions and examples illustrate the relationships among sine, cosine, tangent, and other trig functions. This guide will enhance your understanding of angle measurement, special triangles, and their applications within the unit circle framework.

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Understanding Radians, Special Angles, and Trigonometric Functions

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  1. Trigonometry Review

  2. radians, so radians To convert from degrees to radians, multiply by To convert from radians to degrees, multiply by Angle Measurement

  3. r=1 Special Angles

  4. π/2 π/3 3π/4 2π/3 π/4 5π/6 π/6 π 0 3π/2 r=1 Special Angles - Unit Circle Coordinates

  5. r (x,y)  Trig Functions - Definitions

  6. hyp opp  adj Trig Functions - Definitions

  7. Trig Functions - Definitions

  8. Trig Functions Signs by quadrants sin, csc positive all functions positive tan, cot positive cos, sec positive

  9. example: Special Angles - Triangles

  10. Special Angles - Triangles

  11. r=1 Special Angles - Unit Circle

  12. (0,1) r = 1 (-1,0) (1,0) (0,-1) Use the unit circle points (1,0), (0,1), (-1,0) and (0,-1) or look at the graphs for the trig functions example: Special Angles For the angles

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