2025 WGS P1 Q12

2025 WGS P1 Q12

Secondary 4
7 marks
  1. Show that the equation \(3\tan^2\theta=10-\sec\theta\) can be written in the form \(3\sec^2\theta+\sec\theta-13=0\).[2]
  2. Hence solve \(3\sec^2\theta+\sec\theta-13=0\) for \(0^\circ<\theta<360^\circ\).[5]

Solution:

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Answer:(a) Required form shown. (b) \(58.6^\circ,\ 116.3^\circ,\ 243.7^\circ,\ 301.4^\circ\).

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