TMUA 2021 Paper 1 Q19 — Worked Solution

P1·Trigonometry, Indices, Logarithms & Exponentials·8.0Official · 2021 · Q19

nested-trigcount-solutionsrange-condition

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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