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What is the value of cot (-870^(@))?...

What is the value of cot `(-870^(@))`?

A

`sqrt(3)`

B

`(1)/(sqrt(3))`

C

`-sqrt(3)`

D

`-(1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
`cot(-870^(@))=-cot(2xx360^(@)+150^(@))`
`=-cot150^(@)=-cot(180^(@)-30^(@))=cot30^(@)=sqrt(3)`.
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