Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Determine the square root of \(z = 4(\cos70^\circ + i\sin70^\circ)\)
Options
A \(z^2 = 8(\cos70^\circ + i\sin70^\circ)^2\)
B \(z = 16(\cos70^\circ + i\sin70^\circ)\)
C \(\sqrt{z} = 2(\cos35^\circ + i\sin35^\circ)\)
Correct Answer
D \(2z = 8(\cos70^\circ + i\sin70^\circ)^2\)
Correct Answer

Option C is the correct answer.

Detailed Explanation

√z = √4 (cos(70°/2) + i sin(70°/2)) = 2(cos35° + i sin35°).

Hint

Take square root of modulus and halve the argument.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 604 of 696
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