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Question

If A=1tanθ2tanθ21 and AB = I, then B =

A
cos2θ2.A
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B
cos2θ2.AT
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C
cos2θ2.I
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D
None of these
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Solution

The correct option is B cos2θ2.AT
|A|=1+tan2θ2=sec2θ2AB=IBIA1[1001]1tanθ2tanθ21sec2θ2=cos2θ2.AT.

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