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Question

The value of tan1tan2tan3tan89 is

A
1
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B
0
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C
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D
12
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Solution

The correct option is A 1
tan1tan2tan88tan89
=tan1tan2tan45tan(902)tan(901)
=tan1tan2tan45cot2cot1
=(tan1cot1)(tan2cot2)tan45
=1×1××1=1

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