Question

Express the complex number z = -4+3i in polar form: r(cos⁡(θ)+i sin(θ)).

Answer 1

5( cos(- 0.64)+
`i` sin(-0.64))

Explanation:

Given:

z = -4+3i

`r=√((-4)^2+3^2)= 5`

θ=
`tan^-^1((3)/(-4) ) = -0.64`

Polar form=r(cosθ+
`i` sinθ)=> 5( cos(- 0.64)+
`i` sin(-0.64))