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Question

If cosecA+cotA=112, then tan A =


A

2122

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B

1516

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C

44117

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D

11743

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Solution

The correct option is C

44117


We have:

cosecA+cotA=112....(1)

1cosecA+cotA=211

cosec2Acot2AcosecA+cotA=211

(cosecA+cotA)(cosecAcotA)(cosecA+cotA)=211

cosecAcotA=211.....(2)

subtracting (2)from (1):

2cotA=112211

2cotA=121422

2cotA=11722

cotA=11744

1tanA=11744

tanA=44117


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