A cosine wave has a minimum value of at and the next maximum at

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

A cosine wave has a minimum value of −5-5 at x=πx = \pi and the next maximum at x=2πx = 2\pi. Its mean (midline) value is 11. Determine: (i) its amplitude, (ii) its period, (iii) an equation of the wave in the form y=k+Acos⁡xy = k + A\cos x.

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