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2022 BTYSS P1 Q2
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2022 BTYSS P1 Q2
Secondary 4
3 marks
State, in terms of \(\pi\), the principal value of
\(\tan^{-1}1\),
[1]
\(\sin^{-1}\left(-\dfrac{\sqrt3}2\right)\).
[1]
Explain why the principal value of \(\cos^{-1}\left(-\dfrac{\sqrt2}2\right)\) cannot be \(-\dfrac\pi4\).
[1]
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Answer:
(a)(i) \(\dfrac\pi4\), (ii) \(-\dfrac\pi3\). (b) Arccosine has principal range \([0,\pi]\).
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