If x=2 cos theta- cos 2 theta and y=2 si...

If `x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta,` then `(dy)/(dx)`=

A

1) clockwise rotation around origin through an angle `alpha `

B

2) anti-clockwose rotation aroung origin through an angle `alpha`

C

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

D

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

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The correct Answer is:

D

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