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Amplitude and Period of Trig Functions
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A sine function with a period 3 times longer than the original
Amplitude: a (original amplitude), Period: 6π
A sine function with double the original amplitude
Amplitude: 2a, Period: 2π (original period), where a is the original amplitude
A cosine function with half the original amplitude
Amplitude: 0.5a, Period: 2π (original period), where a is the original amplitude
A cosine function with an amplitude of 0.5 and period of 4π
Amplitude: 0.5, Period: 4π
A cosine function with an amplitude of 4 and a period of π
Amplitude: 4, Period: π
A tangent function with a period that's half of the original
Amplitude: Not applicable (tangent has no maximum amplitude), Period: \frac{π}{2}
A tangent function with triple the original amplitude
Amplitude: 3a, Period: π (original period), where a is the original amplitude
A cosine function with a period 4 times shorter than the original
Amplitude: a (original amplitude), Period: \frac{π}{2}
A sine function with half the original period
Amplitude: a (original amplitude), Period: π
A sine function with a period of 3π and amplitude 1/3
Amplitude: \frac{1}{3}, Period: 3π
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