if `sinA=1/2`, then the value of `cot A`

Options

A. `sqrt(3)`
B. `1/sqrt(3)`
C. `sqrt(3)/2`
D. `1`

Answer

A

Explanation

Given, sinA=`1/2`
`therefore cosA=sqrt(1-sin^(2)A)=sqrt(1-(1/2)^(2))`
`=sqrt(1-1/4) = sqrt(3/4)=sqrt(3)/2` `[therefore sin^(2)A + cos^(2)=1 rArr cosA = sqrt(1-sin^(2)A)]`
Now, cotA = `(cosA)/(sinA)= (sqrt(3)/2)/(1/2)= sqrt(3)`
Hence, the required value of cot A is `sqrt(3)`.