What is the distance between the points P(a c | vedclass

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Question

$d = \sqrt{(a \cos \alpha - a \cos \beta)^2   (a \sin \alpha - a \sin \beta)^2}$ $d = a \sqrt{(\cos^2 \alpha   \sin^2 \alpha)   (\cos^2 \beta   \sin^2

Vedclass · Accepted Answer

$2a \left| \sin \frac{\alpha - \beta}{2} \right|$

Vedclass · Answer

$d = \sqrt{(a \cos \alpha - a \cos \beta)^2   (a \sin \alpha - a \sin \beta)^2}$ $d = a \sqrt{(\cos^2 \alpha   \sin^2 \alpha)   (\cos^2 \beta   \sin^2 \beta) - 2(\cos \alpha \cos \beta   \sin \alpha \sin \beta)}$ $d = a \sqrt{1   1 - 2 \cos(\alpha - \beta)}$ $d = a \sqrt{2(1 - \cos(\alpha - \beta))}$ $d = a \sqrt{2 \cdot 2 \sin^2 \left( \frac{\alpha - \beta}{2} \right)}$ $d = 2a \left| \sin \left( \frac{\alpha - \beta}{2} \right) \right|$

What is the distance between the points $P(a \cos \alpha, a \sin \alpha)$ and $Q(a \cos \beta, a \sin \beta)$?

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