Find the trigonometric form of the complex number shown below.
(squareroot) 3+i
Find the trigonometric form of –11+11i
z = ( 3+i )^1/2
Algebraic form:
z = 1.5+0.5i
Exponential form:
z = 1.5811388 × ei 18°26'6″
Trigonometric form:
z = 1.5811388 × (cos 18°26'6″ + i sin 18°26'6″)
Polar form:
r = |z| = 1.58114
φ = arg z = 18.43495° = 18°26'6″ = 0.10242π
z = –11+11i
Algebraic form:
z = -11+11i
Exponential form:
z = 15.5563492 × ei 135°
Trigonometric form:
z = 15.5563492 × (cos 135° + i sin 135°)
Polar form:
r = |z| = 15.55635
φ = arg z = 135° = 0.75π
