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AmTran_Bus
Find exact answer...easy trig
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If theta equals tan theta and that equals 3, find F(theta+pi)
@freewilly922 @swissgirl
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not sure hoe theta can equal tan theta
unless theta equals 0
But cant see it when theta equals 3
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.
And something about when you add pi you go 180 degrees around the unit circle...
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
Oh and pi(radians) = 180 degrees and yes I know it should be a 3 in the drawing
Tan= y/x ...do you use the value of x or y in this example?
|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
\[\frac{\sin{(\theta)}}{\cos{(\theta)}}=\frac{y}{r}\frac{r}{x}\]