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The value of `cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@)` is

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The value of `cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@)` is
A. 1
B. `-1`
C. `sqrt(3)`
D. `(1)/(sqrt(3))`
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1 Answer

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Correct Answer - d
`cot 10^(@) cot20^(@).cot60^(@).cot70^(@)`
`cot80^(@)`
`["in" cot A cotB "if" A+B=90^(@)`
Then `cot A.cotB=1`]
image
`=1xx1xx(1)/sqrt(3)`
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