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Solve `sin^(4)x=1+tan^(8)x`. |
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Answer» Correct Answer - No solution `sin^(4) x=1 + tan^(8) x` Now, `1+tan^(8) x ge 1 and sin^(4) x le 1` `rArr L.H.S.=R.H.S.` Hence, for the given equation to be satisfied, `sin^(4) x=1 and 1+ tan^(8) x=1` `rArr sin^(2) x=1 and tan^(8) x=0` which never possible, since `sin x` and `tan x` vanish simultaneously. Therefore, the given equation has no solution. |
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