2025 MSHS PRELIMS P1 Q7
2025 MSHS PRELIMS P1 Q7
Secondary 4
7 marks
A calculator must not be used in this question.
- Show that \(\tan 15^\circ = 2 - \sqrt{3}\).[4]
- Use the result from part (a) to find an expression for \(\operatorname{cosec}^2 15^\circ\), in the form \(a + b\sqrt{3}\) where \(a\) and \(b\) are integers.[3]
Solution:
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Answer:\((a)\ \tan15^\circ=2-\sqrt3\) \((b)\ \operatorname{cosec}^2 15^\circ=8+4\sqrt3,\ a=8,\ b=4\)
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