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Let 0ltalphalt(pi)/(2) be a fixed angle....

Let `0ltalphalt(pi)/(2)` be a fixed angle. If `P=(costheta,sintheta)andQ=(cos(alpha-theta),sin(alpha-theta),` then Q is obtanied from P by

A

clockwise rotation around origin through an angle `alpha`

B

anticlockwise rotation around origin through an 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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