| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2025 |
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| Session | October |
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| Topic | Trig Equations |
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13. In this question you must show detailed reasoning.
Solve the following equation for \(x\) in the interval \(0 ^ { \circ } < x < 180 ^ { \circ }\)
$$1 + \log _ { 3 } \left( 1 + \tan ^ { 2 } 2 x \right) = 2 \log _ { 3 } ( - 4 \sin 2 x )$$
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