Amplitude, period, and values of transformed trig functions
Identify the amplitude and period (in radians) of a transformed sine or cosine function, and evaluate it at a given input. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
State the amplitude of the function.
y = −2cos(2x)
Answer: 2
See one solved, step by step
State the period of the function, in radians.
y = 5sin(4x) - 2
📘 Worked solution
1Period = 2pi / B = 2pi / 4B tells you how many cycles fit into 2pi — dividing 2pi by B gives the length of one cycle.
2= π/2Reduce the fraction.
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