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Let 0 < α < π/2 be a fixed angle. If P = (cosθ, sinθ) and Q = cos(α – θ), sin(α – θ)Q obtained form P by

a. clockwise rotation around origin through an angle α

b. anti-clockwise rotation around origin through an angle α

c. reflection in the line through origin with slope tan α

d. reflection in the line through origin with slope tan α/2

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1 Answer

+1 vote
by (51.4k points)

d. reflection in the line through origin with slope tan α/2

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