Im am once again stuck on a math problem,
if tan ( @ ) = -2, that what is the value of @ in the second and fourth quadrant?
I think i have to take the arctan of -2, but im not sure what to do after that. any help would be great. Thanks!!!
2007-04-01 16:36:06 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Hi,
We did this before! With your calculator set on radians, type in tan^-1(-2) and press ENTER. Your answer will be -1.1071 radians. What this tells you is that the reference angle measured from the x axis in any quadrant will be 1.1071 radians. Since the tangent value is negative, the angle could be either in the second or fourth quadrant. For the second quadrant, the angle would be the x axis of Pi radians - 1.1071 or 2.0345 radians.
Likewise for the fourth quadrant the angle is measured from 2 Pi radians minus the 1.1071 radians to put it back into the 4th quadrant. So 2Pi = 6.2832 - 1.1071 = 5.1761 radians.
To double check these results, take the tan(2.0345) or tan(5.1761). Both should give you a decimal value close to -2.
I hope that helps!! Keep working on that trig -it's the only way to beat it instead of letting it beat you.
2007-04-01 16:48:11 · answer #1 · answered by Pi R Squared 7 · 0⤊ 0⤋
In the 4th quadrant @= -1.107 radians or 2pi -1.107 radians.
In the 2nd quadrant @ = pi - 1.107 radians.
2007-04-01 23:51:36 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
second is 2 fourth is -2
12
43
2007-04-01 23:39:40 · answer #3 · answered by anthony 2 · 0⤊ 0⤋
Add pi and 2pi.
2007-04-01 23:40:08 · answer #4 · answered by Anonymous · 0⤊ 0⤋