Question

What is the distance between the points P (Cos A, Sin A) and Q (Sin A, Cos A)

Answer 1

Answer:

$distnce \: formula = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

$= \sqrt{ {(sin \: a - \: cos \: a)}^{2} + {(cos \: a \: - \: sin \: a)}^{2} }$

$\sqrt{ {sin \: }^{2} a + {cos}^{2} \: a - 2sin \: a \: \times \: cos \: a \: + \: {cos}^{2}a \: + \: {sin \: }^{2} a \: - 2sin \: a \: \times \: cos \: a}$

$\sqrt{1 + 1 - 0} \\ \sqrt{2}$