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Official 2021 Paper 1 · Q19

Paper 1TrigonometryFunctions & graphsAlgebra

The equation

sin⁡2(4cos⁡θ×60∘)=34\sin^2\left(4^{\cos\theta}\times60^\circ\right)=\frac34

has exactly three solutions in the range 0∘≤θ≤x∘0^\circ\leq\theta\leq x^\circ.

What is the range of all possible values of xx?

A90≤x<12090\leq x<120
B90≤x<27090\leq x<270
C120≤x<240120\leq x<240
D270≤x<300270\leq x<300
E300≤x<360300\leq x<360
F450≤x<630450\leq x<630

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