1.

The value of x satisfying the equation `sinx+(1)/(sinx)=(7)/(2sqrt(3))` is given by -A. `10^(@)`B. `30^(@)`C. `45^(@)`D. `60^(@)`

Answer» Correct Answer - D
Given `((sin^(2)x+1)/(sinx))=(7)/(2sqrt(3))`
`rArr2sqrt(3)sin^(2)x-7sinx+2sqrt(3)=0`
`sinx=(7pmsqrt(49-48))/(4sqrt(3))`
`= (7pm1)/(4sqrt(3))` ltBrgt `=(8)/(4sqrt(3)),(6)/(4sqrt(3))`
`(2)/(sqrt(3)),(sqrt(3))/(2)` ltBrgt clearly, x= `60^(@)`


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