usually they are of form:
a i +/- b j
Express the complex number in polar form. 5-12i
4 answers
OIC, ok
r = sqrt (25 + 144) = sqrt (169 ) = 13
angle in quadrant 4
tan angle below x axis = 12/5
angle below x axis = 67.4 degrees
or
360 - 67.4 = 292.6 degrees
r = sqrt (25 + 144) = sqrt (169 ) = 13
angle in quadrant 4
tan angle below x axis = 12/5
angle below x axis = 67.4 degrees
or
360 - 67.4 = 292.6 degrees
r=13, θ≈-67.3801º
5 - 12i
r = 13 ,
but we want it in the form
r(cosØ + isinØ)
cosØ = 5/13 , so Ø could be in I or IV
sinØ = -12/13, so Ø could be in III or IV
so Ø must be in IV
taking Damon's angle of 292.6°
5 - 12i = 13(cos292.6 + i sin292.6) in polar form
check:
13cos296.6 = 4.9958.. or 5
13sin292.6 = -12.0017.. or -12
r = 13 ,
but we want it in the form
r(cosØ + isinØ)
cosØ = 5/13 , so Ø could be in I or IV
sinØ = -12/13, so Ø could be in III or IV
so Ø must be in IV
taking Damon's angle of 292.6°
5 - 12i = 13(cos292.6 + i sin292.6) in polar form
check:
13cos296.6 = 4.9958.. or 5
13sin292.6 = -12.0017.. or -12
1 answer