साबित करे की समीकरण `sin theta = x + (1)/(x)` संभव नहीं है जब x वास्तविक संख्या है

Explanation

`pi lt theta lt (3pi)/(2) therefore theta gt tan theta lt 0` तथा `sin theta lt 0`
`sin theta =sqrt(1-cos^(2)theta)=-sqrt(1-(1/2^(2))=-sqrt(1-1/4)=-sqrt(3)/(2)`
`therefore cosec theta =-(2)/sqrt(3)`
तथा `tan theta =(sin theta)/(cos theta)=sqrt(3//2)/(-1//2)=sqrt(3)`
`therefore 4 tan^(2) theta -3 cosec^(2) theta =4 xx3-3 xx4/3=8`