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Question

The value of tan(tan112tan113) is

A
57
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B
76
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C
16
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D
17
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Solution

The correct option is D 17
tan[tan112tan113]

=tan⎢ ⎢ ⎢tan1⎜ ⎜ ⎜12131+16⎟ ⎟ ⎟⎥ ⎥ ⎥=tan(tan117)
=17 [tan(tan1x)=x xR]

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