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Find the number of solution of the equation `e^(sinx)-e^(-sinx)-4=0` |
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Answer» Put `e^(sin x)=t` `rArr t^(2)-4t-1=0` `rArr t=e^(sin x)=2 pm sqrt(5)` Now `sin x in [-1, 1]`. Thus, `e^(sin x) in [e^(-1), e^(1)]` and `2 pm sqrt(5) notin [e^(-1), e^(1)]` Hence, there does not exist any solution. |
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