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Let 0lealphalepi/2 be a fixed angle.if p...

Let `0lealphalepi/2` be a fixed angle.if `p=(costheta,sintheta)` and `Q=(cos(alpha-theta),sin(alpha-theta))` then Q is obtained from P by

A

clockwise rotation around origin through angle `alpha`

B

anticlockwise rotation around origin through an angle`alpha`

C

reflection in the line through origin will slope`tantheta`

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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