If `x^(2)=sin^(2)30^(@) + 4 cot^(2)45^(@)-sec^(2) 60^(@)`, determine the value of x.

Explanation

`x^(2)=sin^(2)30^(@)+4 cot^(2)45^(@)-sec^(2)60^(@)`
`or, x^(2)=((1)/(2))^(2) +4xx(1)^(2) -(2)^(2)`
`or, x^(2)=(1)/(4)+4-4 or, x^(2)=(1)/(4) or, x = pm (1)/(2)`.
Hence the value of `x=pm (1)/(2)`.