Trigonometric Form of Complex Numbers
Math ⇒ Trigonometry
Trigonometric Form of Complex Numbers starts at 11 and continues till grade 12.
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See sample questions for grade 12
Express the complex number 1 + i in trigonometric form.
Express the complex number z = -2 - 2i in trigonometric form.
Express the complex number z = 4 (cos 270° + i sin 270°) in rectangular form.
Express the complex number z = 6 (cos π + i sin π) in rectangular form.
Express z = 2 (cos 330° + i sin 330°) in rectangular form.
Express z = 3 (cos 300° + i sin 300°) in rectangular form.
Express z = 8 (cos 0 + i sin 0) in rectangular form.
Given z = 2 (cos 120° + i sin 120°), write z in rectangular form.
Which of the following is NOT a correct trigonometric form of a complex number? (1) r (cos θ + i sin θ), (2) r (cos θ - i sin θ), (3) r (sin θ + i cos θ), (4) r (cos θ + i sin θ)
Which of the following is the correct argument of z = 0 - 5i? (1) π/2, (2) π, (3) 3π/2, (4) 0
Which of the following is the correct modulus of the complex number z = -3 + 4i? (1) 5, (2) 7, (3) 1, (4) 4
Which of the following is the correct modulus of z = 1 + i√3? (1) 2, (2) √2, (3) 2√2, (4) √3
Fill in the blank: The argument of the complex number z = 1 - i is _______.
Fill in the blank: The argument of z = 0 - 1i is _______.
Fill in the blank: The argument of z = -1 + 0i is _______.
Fill in the blank: The modulus of z = x + yi is given by _______.
True or False: The argument of a complex number z = x + yi is always between 0 and 2π.
True or False: The argument of z = 0 + 2i is π/2.
True or False: The argument of z = 1 + 0i is 0.
True or False: The modulus of any complex number is always non-negative.
