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2025 ESSS P1 Q1
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2025 ESSS P1 Q1
Secondary 4
4 marks
Given that \(\sin\theta=\dfrac5{13}\) where \(0\le\theta\le\dfrac12\pi\), find the exact value of
\(\tan\theta\)
[1]
\(\sin2\theta\)
[2]
Do not use a calculator in answering this question.
State, in terms of \(\pi\), the principal value of \(\cos^{-1}\left(-\dfrac{\sqrt2}2\right)\).
[1]
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Answer:
(a)(i) \(\dfrac5{12}\) (ii) \(\dfrac{120}{169}\) (b) \(\dfrac{3\pi}4\)
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