AmTran_Bus
  • AmTran_Bus
Find exact answer...easy trig
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
AmTran_Bus
  • AmTran_Bus
|dw:1351550575736:dw|
AmTran_Bus
  • AmTran_Bus
If theta equals tan theta and that equals 3, find F(theta+pi)
AmTran_Bus
  • AmTran_Bus
@freewilly922 @swissgirl

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AmTran_Bus
  • AmTran_Bus
|dw:1351550836023:dw|
swissgirl
  • swissgirl
not sure hoe theta can equal tan theta
swissgirl
  • swissgirl
unless theta equals 0
swissgirl
  • swissgirl
But cant see it when theta equals 3
AmTran_Bus
  • AmTran_Bus
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.
AmTran_Bus
  • AmTran_Bus
And something about when you add pi you go 180 degrees around the unit circle...
anonymous
  • anonymous
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
anonymous
  • anonymous
Oh and pi(radians) = 180 degrees and yes I know it should be a 3 in the drawing
AmTran_Bus
  • AmTran_Bus
Tan= y/x ...do you use the value of x or y in this example?
anonymous
  • anonymous
|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
anonymous
  • anonymous
\[\frac{\sin{(\theta)}}{\cos{(\theta)}}=\frac{y}{r}\frac{r}{x}\]

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