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A line OA length r starts from its initi...

A line OA length r starts from its initial position OX and traces an angle `AOB = alpha` in the anticlockwise direction. It then traces back in the clockwise direction an angle `BOC = 3 theta` ( where `alpha gt 3 theta` ) . L is the foot of the the perpendicular from C on OA. `(sin^3 theta)/(CL) = (cos^3 theta)/(OL ) = 1`
`(1- r cos alpha)/(r sin alpha) ` is equal to

A

`tan 2 theta`

B

`cot 2 theta`

C

`sin 2 theta`

D

`cos 2 theta`

Text Solution

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The correct Answer is:
A
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