Which of the following equations have no solutions : 2 sinθ = 3 - Vidyadip

Question

Which of the following equations have no solutions : 2 sinθ = 3

✓

Answer

$2 \sin \theta=3 \therefore \sin \theta=\frac{3}{2}$

This is not possible because -1 ≤ sin θ ≤ 1 for any θ.
∴ 2 sin θ = 3 does not have any solution.

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