2023 KSS P1 Q9

2023 KSS P1 Q9

Secondary 4
7 marks
  1. Find the principal values, in degrees, of
    1. \(\sin^{-1}\left(\dfrac{\sqrt3}2\right)\),[1]
    2. \(\cos^{-1}(-\sin45^\circ)\).[1]
    1. Write down the period and the amplitude of \(y=3\cos2x-1\).[2]
    2. Sketch the graph of \(y=3\cos2x-1\) for \(0^\circ\le x\le180^\circ\).[3]

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Answer:(a)(i) \(60^\circ\), (ii) \(135^\circ\). (b)(i) \(180^\circ\), 3. (ii) Cosine sketch shown.

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