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