Question

Find the distance between the points ( cosA, sinA) and ( -sinA, cos A)

Answer 1

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Question :

Find the distance between the points (CosA, SinA) and (-SinA, CosA)

$\: \bullet \underline{\bf{by \:using \: distance \: formula}}$

$\: \\ \implies\bf{ \sqrt{( {x2 - x1})^{2} + {(y2 - y1)}^{2} } }$

$\: \\ \implies \bf{ \sqrt{ {( - sinx - cosx)}^{2} + {(cosx - sinx)}^{2} }}$

$\: \\ \implies \displaystyle \bf{ \sqrt{ {sinx}^{2} + {cosx}^{2} -2sinxcosx + {cosx}^{2} + {sinx}^{2} + 2sinxcosx} }$

$\: \: \implies \displaystyle \bf{ \sqrt{1 + 1} = \sqrt{2} }$