InterviewSolution
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InterviewSolution
| 1. |
Show that the equation `sintheta=x+1/x`is not possible if `x`is real. |
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Answer» `x+1/x = (sqrtx)^2+(1/sqrtx)^2` `=(sqrtx-1/sqrtx)^2 +2*sqrtx*1/sqrtx` `=>x+1/x = (sqrtx-1/sqrtx)^2 +2` `:. x+1/x ge 2.` But, `-1 le sin theta le 1` , so `sin theta` can not be greater than `1`. Thus, `sintheta = x+1/x` is not possible if `x` is real. |
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