| Exam Board | Edexcel |
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| Module | PMT Mocks (PMT Mocks) |
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| Topic | Trig Equations |
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14. Given that
$$2 \cos ( x + 60 ) ^ { 0 } = \sin ( x - 30 ) ^ { 0 }$$
a. Show, without using a calculator, that
$$\tan x = \frac { \sqrt { 3 } } { 3 }$$
b. Hence solve, for \(0 \leq \theta < 360 ^ { 0 }\)
$$2 \cos ( 2 \theta + 90 ) ^ { 0 } = \sin ( 2 \theta ) ^ { 0 }$$