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AmTran_Bus

  • 3 years ago

Find exact answer...easy trig

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  1. AmTran_Bus
    • 3 years ago
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    |dw:1351550575736:dw|

  2. AmTran_Bus
    • 3 years ago
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    If theta equals tan theta and that equals 3, find F(theta+pi)

  3. AmTran_Bus
    • 3 years ago
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    @freewilly922 @swissgirl

  4. AmTran_Bus
    • 3 years ago
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    |dw:1351550836023:dw|

  5. swissgirl
    • 3 years ago
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    not sure hoe theta can equal tan theta

  6. swissgirl
    • 3 years ago
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    unless theta equals 0

  7. swissgirl
    • 3 years ago
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    But cant see it when theta equals 3

  8. AmTran_Bus
    • 3 years ago
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    Well, I think you can also read it as tan theta=3, and it wants you to find the exact value using the coord plane.

  9. AmTran_Bus
    • 3 years ago
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    And something about when you add pi you go 180 degrees around the unit circle...

  10. freewilly922
    • 3 years ago
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    1) you know that the tangent is positive so if you start in quadrant 1 you know that the triangle that you draw the opposite side to the angle has to be 3 times that of the adjacent side. |dw:1351551020275:dw| adding pi or 180 degrees puts you in the 3rd quadrant where both sin and cos are both negative, so the negatives signs will cancel out. Therefore, tan(theta) = tan(theta+180) = 3

  11. freewilly922
    • 3 years ago
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    Oh and pi(radians) = 180 degrees and yes I know it should be a 3 in the drawing

  12. AmTran_Bus
    • 3 years ago
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    Tan= y/x ...do you use the value of x or y in this example?

  13. freewilly922
    • 3 years ago
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    |dw:1351551191480:dw| \[\tan{(\theta)} = \frac{\sin{(\theta})}{\cos{(\theta)}} \] when you go to the 3rd quadrant you go from a y/x to a (-y)/(-x) so you stay with y/x

  14. freewilly922
    • 3 years ago
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    \[\frac{\sin{(\theta)}}{\cos{(\theta)}}=\frac{y}{r}\frac{r}{x}\]

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