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The value of `tan1^@tan2^@tan3^@...tan89^@` isA. `0`B. `1`C. `(1)/(2)`D. Not defined |
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Answer» Correct Answer - B Given expression, `tan1^(@)tan2^(@)tan3^(@) ... tan89^(@)` `=tan1^(@)tan2^(@)...tan45^(@)*tan(90^(@)-44^(@))tan(90^(@)-43^(@))...tan(90^(@)-1^(@))` `=tan1^(@)*cot1^(@)*tan2^(@)*cot2^(@)...tan89^(@)*cot89^(@)` `1*1...1*1=1` |
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