2023 SCSS P1 Q5

2023 SCSS P1 Q5

Secondary 4
6 marks
  1. Without using a calculator, and showing all your working, find the exact value of \(\sin30^\circ\cos45^\circ+\cos30^\circ\sin45^\circ\).[2]
  2. Solve \(\cos\left(2x+\dfrac\pi3\right)=\dfrac{\sqrt2}2\) for \(0\le x\le\pi\) radians giving your answers in terms of \(\pi\).[4]

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Answer:(a) \(\dfrac{\sqrt2+\sqrt6}4\). (b) \(\dfrac{17\pi}{24},\dfrac{23\pi}{24}\).

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