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Question

tan10tan20tan30tan40tan50tan60tan70tan80 is equal to

A
0
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B
1
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C
13
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D
1
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Solution

The correct option is A 1
tan10tan20tan30tan40tan50tan60tan70tan80

we know that tan(90θ)=cotθ

=tan10.tan20.tan30.tan40.cot40.cot30.cot20.cot10
=1...........
Use tan(90oθ)=cotθ and tanθcotθ=1

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