Problem 20 of 34fun-020
What is the period of the function , where is measured in radians?
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Solution walkthrough1:34
- The period is the length along the -axis of one full wave, before the graph starts to repeat.
- A sine wave finishes one cycle when the angle inside it goes from to . Here the inside is .
- Set . Multiply both sides by : . The period is .
- Traps: is the amplitude, is the height from valley to peak, and is only half a wave.