| Exam Board | OCR |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2016 |
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| Session | June |
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| Topic | Reciprocal Trig & Identities |
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4 It is given that \(A\) and \(B\) are angles such that
$$\sec ^ { 2 } A - \tan A = 13 \quad \text { and } \quad \sin B \sec ^ { 2 } B = 27 \cos B \operatorname { cosec } ^ { 2 } B$$
Find the possible exact values of \(\tan ( A - B )\).