Question

put this in polar form 5-12i

Answer 1

i got r=13

Answer 2

I do not want my answers in degree

Answer 3

basically what i need help is converting my answer to degree to rad in decimal

Answer 4

So you already have your angle in degrees?

Answer 5

292.61 degree.

Answer 6

In that case, if you have it in degrees, to bring it to radians, simply multiply it by the factor
\[\huge \frac{\pi}{180^o}\]

Answer 7

for a number a+bi
\[\large r^2 = a^2 + b^2\]
tan theta = \[\large \tan \theta = \frac{ b }{a }\]

To convert from degrees to radians \[\Large \theta ^{r} = \theta ^{d} \times \frac{ \pi }{180}\]
theta d means theta in degrees.

Answer 8

hey one more question. if 5 was negative would it still be \[\tan \theta b/a\] or will the a be negative?

Answer 9

Like this?



\[\tan \theta = \frac{ -12 }{-5 }\]

which gives theta = 67.4 degrees or 1.18 radians... BUT as you can see, theta is in the third quadrant, so you need to add 180 degrees to 67.4 degrees, or add pi radians to 1.18 radians... giving 247.4 degrees or 4.31 radians.

This is why drawing a diagram is helpful.