Amplitude and Period of Sine and Cosine Functions

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What is the amplitude of? Graphs of Cosine Functions. Writing Tutor Interest Form. Aviv S. To change the amplitude, multiply the sine function by a number.

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In the end, it looks like this in purple:. To make the graph of , you must combine the effects described above. The amplitude equals. In this case: Here is an example of each of these two possibilities.

Perhaps you recognized that the period of the graph is twice the period of , and thought that the value of b would be 2. Supplemental Instruction.

Amplitude, Period, Phase Shift and Frequency

From the time graph, the period and the frequency can be obtained. Math Tutor Interest Form. Now, graph the wave of 2sinx with a dotted line. The greatest value this expression attains is 3 and its least value is So this could be the graph of. In the sine and cosine equations, the amplitude is the coefficient multiplier of the sine or cosine.

Impact of this question views around the world. The period equals. What is the period of the function? If you multiply 0 by 4 or anything else , you will still have a value of 0. Trigonometry Examples Step-by-Step Examples. The CAS offers free tutoring in math, writing, and specific courses.

In the next example, you will see a variation that you have not seen before. First, this graph has the shape of a cosine function. This graph has the correct period and amplitude. SI is provided for students who want to improve their understanding of course material and improve their grades. This change does not affect the graphs; they remain the same. Two graphs showing a sine function. On the other hand, the highest and lowest points have moved away from the x -axis.

C Correct.

Feb 14, B The amplitude is , and the period is. Some functions like Sine and Cosine repeat forever and are called Periodic Functions.