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Find the period and amplitude of(i) y = sin 7x (ii) y = -sin((1/3)x) (iii) y = 4 sin(-2x) |
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Answer» (i) y = sin 7x Period of the function sin x is 2π Period of the function sin 7x is 2π/7 The amplitude of sin 7x is 1 (ii) y = -sin (1/3)x Period of sin x is 2π So, period of sin (1/3)x is 6π and the amplitude is 1. (iii) y = 4 sin(-2x) = -4 sin 2x Period of sin x is 2π π Period of sin 2x is π and the amplitude is 4. |
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