Theory of Intelligence
11TH•Mathematics•Complex Numbers•Exercise 1.5

Polar Coordinates System

Practice set 1.5 for Complex Numbers (polar form basics).

quizQuestion 1 of 7
Q1

Question 1

Plot the following points:

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(i)

(2,75∘)(2, 75^\circ)

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Step-by-Step Solution

Question 1 • Part (i)

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(i) (2,75∘)(2,75^\circ)

Here r=2>0r=2>0 and θ=75∘\theta=75^\circ.

The point is 22 units from the origin at an angle 75∘75^\circ from the positive xx-axis.

x=rcos⁡θ=2cos⁡75∘y=rsin⁡θ=2sin⁡75∘\begin{aligned} x&=r\cos\theta=2\cos 75^\circ\\ y&=r\sin\theta=2\sin 75^\circ \end{aligned}
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