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B
2cosecθ−2cotθ+θ+c
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C
2cosecθ+2cotθ−θ+c
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D
NONE OF THE ABOVE
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Solution
The correct option is A2cosecθ−2cotθ−θ+c 2tanθh−θ+c=2(sinθhcosθh)−θ+c=2sinθh×cosθhcos2θh−θ+c=sinθ(1+cosθ2)−θ+c=2sinθ(1−cosθ)(1+cosθ)(1−cosθ)−θ+c=2sinθ(1−cosθ)sin2θ−θ+c=2(1sinθ−cosθsinθ)−θ+c=2(cosecθ−cotθ)−θ+c