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 11
Express the complex number 1 + i in trigonometric form.
Express the complex number z = 2 - 2i in trigonometric form.
Express the complex number z = 2 (cos 0 + i sin 0) in standard form.
Express the complex number z = 3 (cos π + i sin π) in standard form.
Express the complex number z = 4 (cos π/2 + i sin π/2) in standard form.
Express the complex number z = -5 in trigonometric form.
Express the complex number z = 6 (cos 0 + i sin 0) in standard form.
Given z = 2 (cos 120° + i sin 120°), write z in standard form (a + bi).
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 for z = 1 - i? (1) π/4, (2) -π/4, (3) π/2, (4) -π/2
Which of the following is the correct modulus for z = 6 (cos 0 + i sin 0)? (1) 0, (2) 1, (3) 6, (4) 12
Which of the following is the correct modulus of z = 7 (cos 45° + i sin 45°)? (1) 7, (2) 1, (3) √2, (4) 14
Fill in the blank: The argument of z = 0 - 5i is _______.
Fill in the blank: The argument of z = 0 + 2i is _______.
Fill in the blank: The modulus of z = 0 + bi is _______.
Fill in the blank: The modulus of z = a + bi is _______.
True or False: The argument of a complex number z = x + yi is always between 0 and 2π.
True or False: The argument of a complex number z = x + yi is given by tan⁻¹(y/x).
True or False: The argument of z = -1 + 0i is π.
True or False: The modulus of any complex number is always non-negative.
