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Question

In the given circle, OP = 1 unit and ∠POQ=θ
Which of the following is cosecθ from this circle?


A

OB

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B

OA

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C

AP

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D

AB

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Solution

The correct option is A

OB


As we can see from the above figure,
BOQ=90
So,BOP=90POQ=90θ
In,ΔBPO,BPO=90 (PB is tangent to the circle)
In,ΔBPO,BOP+PBO=90PBO=90(90θ)=θ
In,ΔPBO, cosecθ=OBPO=OB1=OB

So, cosecθ = OB


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