Friday, April 8, 2016

12.6 Number 4

***** The feedback message: *****

Why am I not getting theta correct?  I used inverse tan(-3/5) and got
-.5404 and it is saying it is incorrect.



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Well, tan^{-1}(-3/5) is indeed -0.5404 as you suggest, which is the same as 2.601 as you wrote. *BUT* (-5,3) is in the second quadrant, while the formula θ=tan^{-1}(y/x) only works for (x,y) in the 1st and 4th quadrants.  The correct formula for the second and third quadrants is instead
θ=π + tan^{-1}(y/x).

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