For all real

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For all real xx, consider the expression g(x)=6sin⁡x+8cos⁡xg(x)=6\sin x+8\cos x. (i) Show that −10≤g(x)≤10-10\le g(x)\le 10 for every real xx. (ii) Find the least positive value of xx for which g(x)g(x) attains its minimum value.

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