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Trigonometric Ratios of an Obtuse Angle




Definition: An angle is in standard position if

• its first side (initial sid...
3
4
5
Use the coordinate definition of the trigonometric ratios 
to find sin , cos and tan if angle is in standard position 
   ...
Θ            sinΘ    cosΘ     tanΘ  
  0
30
      0
150        

  0
65     

      0
115        

  0
89     

  0
91    ...
• Find the size of each angle (nearest tenth)
• State acute and obtuse angles where possible

1)  sin   = 0.42




2)  cos...
Assignment:

 Exercise 18



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Trig Ratios Of Obtuse Angles

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Trig Ratios Of Obtuse Angles

  1. 1. 1
  2. 2. Trigonometric Ratios of an Obtuse Angle Definition: An angle is in standard position if • its first side (initial side) is a ray from the origin along the positive x­axis • its second side (terminal side) is any ray from the origin • the angle is measured from the initial to the terminal side in a counterclockwise direction ] Angle is in standard position. 2
  3. 3. 3
  4. 4. 4
  5. 5. 5
  6. 6. Use the coordinate definition of the trigonometric ratios  to find sin , cos and tan if angle is in standard position  • P(3, 4) is on • P(-3, 4) is on its terminal arm its terminal arm 6
  7. 7. Θ  sinΘ  cosΘ   tanΘ   0 30 0 150   0 65   0 115   0 89   0 91   7
  8. 8. • Find the size of each angle (nearest tenth) • State acute and obtuse angles where possible 1)  sin = 0.42 2)  cos = ­0.3 3)  tan = 1.5 8
  9. 9. Assignment: Exercise 18 9

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