Find the distance between the points (cosb, -sinb) and (sinb, cosb)
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Answer:
points are P (cos x, -sinx) and Q (sin x, cos x)
d= √(sin x-cos x)² + (cos x+ sin x)²
d=>√(sin²x+cos²x-2sinxcosx+cos²x+sin²x+2sinxcosx)
d = √(1 + 1) [ 2sinxcosx cancels out ]
d = √2 [ sin²x+cos²x=1 ]
therefore distance = √2 units
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