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Let 0 lt alpha lt pi//4 be a fixed angle...

Let `0 lt alpha lt pi//4` be a fixed angle. If `P=(cos theta, sin theta) and Q=(cos (alpha-theta), sin(alpha-theta))`, then Q is obtained from P by:

A

clockwise rotation around origin through an angle `alpha`

B

anticlockwise rotation around origin through angle `alpha`

C

reflection in the line through origin with slope `tan alpha`

D

reflection in the line through origin with slope `tan ((alpha)/(2))`

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The correct Answer is:
D
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