For real constants and

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For real constants aa and bb, the greatest possible value of the expression asin⁡x+bcos⁡xa\sin x + b\cos x equals (a) ∣a+b∣|a+b| (b) a2+b2a^{2}+b^{2} (c) a2+b2\sqrt{a^{2}+b^{2}} (d) ∣a∣+∣b∣|a|+|b|

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