Question

find the distance between the pointsA (cosß,sinß) and B (sinß, -cosß)

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Answer 1

Answer:

Required Distance =

$\sqrt{(cos \beta - sin \beta ) {}^{2} + (sin \beta + cos \beta ) {}^{2} } \\ = \sqrt{2( {cos}^{2} \beta + {sin}^{2} \beta ) } \\ = \sqrt{2 \times 1} = \sqrt{2}$

Ans