Theory of Intelligence
11TH•Mathematics•Complex Numbers•Question 1

(iv) $(5,\dfrac{5\pi}{6})$

Plot the following points:

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(iv) (5,5π6)(5,\dfrac{5\pi}{6})

Here r=5>0r=5>0 and θ=5π6\theta=\dfrac{5\pi}{6}.

x=5cos⁡5π6=−532y=5sin⁡5π6=52\begin{aligned} x&=5\cos\frac{5\pi}{6}=-\frac{5\sqrt{3}}{2}\\ y&=5\sin\frac{5\pi}{6}=\frac{5}{2} \end{aligned}

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