Trigonometry

Trigonometry

Secondary 4

For \[\mathrm{f}(x)=7+8\sin x-6\cos x,\qquad 0^\circ\le x<360^\circ,\]find:

  1. the maximum and minimum values of \(\mathrm{f}(x)\);

  2. the value of \(x\) at which each occurs.

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Answer:Maximum \(17\) at \(126.9^\circ\); minimum \(-3\) at \(306.9^\circ\).

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