Posted by Abbey(Please help) on Monday, May 3, 2010 at 12:24am.
When trying to solve
arctan(sqrt 567.2 / 459.6) my answer was 2.96. My teacher said that i handled the radical wrong. She said I have to square both numbers, then add them, and then find the square root. I am confused because you cannot take the square root of 459.6. Please explain.

Math  lauren, Monday, May 3, 2010 at 12:36am
Im not sure by your equation why you are to follow that process, but if you are to first square the two numbers then you get rid of the ve
ie:
567.2^2 and (459.6)^2
i hope this helps

Math  Reiny, Monday, May 3, 2010 at 12:38am
arctan(sqrt 567.2 / 459.6)
= arctan(23.81596/459.6)
= arctan(.051819)
= 2.97°
most calculators have been programmed that for any arc(trig function) they will give you the smallest value of rotation from 0,
so 2.97 would be in the 4th quadrant, coterminal with 3602.97 or 357.03°
the tangent is also negative in the 2nd quadrant, so
the smallest positive answer is 1802.97 = 177.03°
check: tan 357.03 = tan 177.03 = .05188
√567.2/459.6 = .0518189 , close enough,
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