for any complex number of the form a + bi
your angle θ is found from tanθ = b/a
I will do the 2nd one, you do the other two.
tanθ = -15/7
you know 7−15i is in quadrant IV of the Argand plane, so
find tan^-1 (+15/7), which is 1.134169... radians
so in quad IV, θ = 2π - 1.134169 = 5.149016...
If you want it in degrees, make sure your calculator is set to DEG using the DRG key
I got appr 295.017°
Need help with complex numbers questions:
−14+12i has argument: θ=
7−15i has argument: θ=
−10−13i has argument: θ=
1 answer
1 answer