Which of the following equations have no solutions : ^2 =-1 - Vidyadip

Question

Which of the following equations have no solutions :

$\cos ^2 \theta=-1$

✓

Answer

$\cos 2 \theta=-1$This is not possible because cos2θ ≥ 0 for any θ.
∴ cos2θ = -1 does not have any solution.

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