TMUA 2021 · Paper 1 · Question 19

The equation

sin^{2} (4^{c o s θ} \times 6 0^{\circ}) = \frac{3}{4}

has exactly three solutions in the range $0^{\circ} \leq θ \leq x^{\circ}$

What is the range of all possible values of $x$ ?

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