Sketch and solve graphically

Sketch trigonometric graphs and use them to solve equations or inequalities.

3 questions · Moderate -0.6

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CAIE P3 2018 June Q10
8 marks Moderate -0.3
  1. Solve the equation \(2 \cos x + 3 \sin x = 0\), for \(0° \leqslant x \leqslant 360°\). [3]
  2. Sketch, on the same diagram, the graphs of \(y = 2 \cos x\) and \(y = -3 \sin x\) for \(0° \leqslant x \leqslant 360°\). [3]
  3. Use your answers to parts (i) and (ii) to find the set of values of \(x\) for \(0° \leqslant x \leqslant 360°\) for which \(2 \cos x + 3 \sin x > 0\). [2]
OCR MEI C2 Q7
4 marks Moderate -0.8
Sketch the curve \(y = \sin x\) for \(0° \leqslant x \leqslant 360°\). Solve the equation \(\sin x = -0.68\) for \(0° \leqslant x \leqslant 360°\). [4]
OCR MEI C2 Q9
4 marks Moderate -0.8
Sketch the graph of \(y = \sin x\) for \(0° \leqslant x \leqslant 360°\). Solve the equation \(\sin x = -0.2\) for \(0° \leqslant x \leqslant 360°\). [4]