Question

If `x cos^(2)30^(@).sin60=(tan^(2)45^(@).sec60)/("co s ec"60^(2))`
then the value of x
A. `(1)/(sqrt3)`
B. `2(2)/(3)`
C. `(1)/(sqrt2)`
D. `(1)/(2)`

Answer 1

Correct Answer - b
`xcos^(2)30^(@).sin60^(@)`
`=(tan^(2)45^(@)sec60^(@))/(co s ec60^(@))`
`x((sqrt(3))/(2))^(2)((sqrt(3))/(2))=((1)^(2)(2))/(((2)/sqrt(3)))`
`x=2(2)/(3)`