Let . The greatest value of…

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

Problem

Let

F(x)=\bigl(3\sin x + 4\cos x\bigr)\bigl(4\sin x - 3\cos x\bigr)

. The greatest value of

F(x)

is (a)

25

(b)

\sqrt{193}

(c)

\dfrac{25}{2}

(d)

15

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