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Byju's Answer

Standard XII

Mathematics

Converting to Perfect Square

There exist x...

Question

There exist x such that: $1 + {cos}^{2} x = - 1$

True

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False

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Solution

The correct option is B False
$1 + {cos}^{2} x = - 1 ⟹ {cos}^{2} x = - 2$
which is not possible.

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Similar questions

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There exist x such that:1+cos2x=−1

The correct option is B False1+cos2x=−1⟹cos2x=−2 which is not possible.

There exist x such that: $1 + {cos}^{2} x = - 1$

The correct option is B False
$1 + {cos}^{2} x = - 1 ⟹ {cos}^{2} x = - 2$
which is not possible.