SPS SPS SM Pure 2020 October — Question 7

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2020
SessionOctober
TopicHarmonic Form
7.
  1. Express \(24 \sin \theta + 7 \cos \theta\) in the form \(R \sin ( \theta + \alpha )\), where \(R > 0\) and \(0 ^ { \circ } < \alpha < 90 ^ { \circ }\).
  2. Hence solve the equation \(24 \sin \theta + 7 \cos \theta = 12\) for \(0 ^ { \circ } < \theta < 360 ^ { \circ }\).
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