How do you convert -3+5i to trigonometric notation, like cis form. Please show with steps
x + yi ---> -3 + 5i ---> x = -3 and y = 5
rcis(theta) ---> r = sqrt( x2 + y2 ) ---> r = sqrt( (-3)2 + (5)2 ) ---> r = sqrt( 34)
---> theta = tan-1( y/x ) ===> theta = tan-1( 5/-3 ) ---> theta = 120.96o
sqrt(34) · cis ( 120.96o )
z = -3+5i Algebraic form: z = -3+5i Exponential form: z = 5.8309519 × ei 120°57'50″ Trigonometric form: z = 5.8309519 × (cos 120°57'50″ + i sin 120°57'50″) Polar form: r = |z| = 5.83095 φ = arg z = 120.96376° = 120°57'50″ = 0.67202π