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Question

If 4cotA=3 then find the value of cosec2Acot2A.

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Solution

It is given that 4cotA=3
Thus cotA=34=BP
P=4, B=3

Now, H2=P2+B2
H2=32+42
H2=52
H=5

cosec2Acot2A=(HP)2(BP)2
= (54)2(34)2

= 2516916

= 1616

= 1

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