Trigonometry

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Trigonometry

  1. 1. trigonometry For dummies by Norma
  2. 2. Trigonometry topics discussed <ul><li>Unit circle </li></ul><ul><li>Quadrants </li></ul><ul><li>Sine cosine tangent </li></ul><ul><li>Secant cosecant cotangent </li></ul><ul><li>Types of angles (initial terminal conterminal reference) </li></ul><ul><li>Radian and degree measure </li></ul><ul><li>Pythagorean theorem </li></ul><ul><li>Trig identities </li></ul>
  3. 3. What is trigonometry <ul><li>Trigonometry is the study of triangles and angles </li></ul>
  4. 4. Sine cosine tangent what are they? <ul><li>Sine cosine and tangent is used when dealing with right triangles </li></ul><ul><li>A way to remember sine cosine and tangent is SohCahToa </li></ul>
  5. 5. Unit circle <ul><li>The unit circle is used when dealing with sine cosine and tangent </li></ul><ul><li>The radius of the unit circle is 1 </li></ul><ul><li>The coordinates of the circle are (x,y) or (sin, cos) </li></ul>
  6. 6. quadrant <ul><li>A quadrant is a quarter of a plane . The x-axis and y-axis divide the x-y plane into four quadrants. </li></ul>
  7. 7. Sine, cosine and tangent measures on the unit circle <ul><li>Angle values for trig </li></ul>
  8. 8. Initial and terminal angles reference angle <ul><li>AN ANGLE is in standard position when its vertex A is at the origin of the x-y plane, and its Initial side AB lies along the positive x -axis, while its Terminal side AC has rotated. </li></ul><ul><li>The reference angle is defined as the acute angle between the terminal side of the given angle and the x axis. The given angle may be in degrees or radians. </li></ul>The reference angle is defined as
  9. 9. Convert degrees to radians <ul><li>          </li></ul>to convert radians to degrees, multiply by 180 /  , like this:                                                                                                       to convert degrees to radians, multiply by    , like this:                                                                                             
  10. 10. What are reciprocal trigonometric functions? <ul><li>Reciprocal of trigonometric functions are the opposite of sine cosine and tangent functions </li></ul><ul><li>Reciprocal of sine is 1 over sine or csc </li></ul><ul><li>Reciprocal of cosine is 1 over cosine or sec </li></ul><ul><li>Reciprocal of tangent is 1 over tangent or sin over cos or cot </li></ul>
  11. 11. Pythagorean identities <ul><li>Pythagorean identities </li></ul><ul><li>a)sin² θ + cos² θ   =  1 b)1 + tan² θ   =  sec² θ  c)1 + cot² θ   =  csc ² θ a')     sin² θ   =  1 − cos² θ . b) cos² θ   =  1 − sin² θ . </li></ul>
  12. 12. Trig for dummies

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