**Finding the period of this periodic function Stack Exchange**

Name: _____ ID: A 3 Use the graph of y = sin ? to find the value of sin ? for each value of ?. 5. 270? 6. 1 4 ? radians 7. Find the period of the graph shown below.... Observing the sign and the monotonicity of the functions sine, cosine, cosecant, and secant in the four quadrants, shows that 2 ? is the smallest value for which they are periodic, i.e., 2 ? is the fundamental period of these functions.

**How do you determine the amplitude and period for y=-2sin**

Given the graph of a sinusoidal function, we can analyze it to find the midline, amplitude, and period. Consider, for example, the following graph.... Amplitude and Period of Sine and Cosine Functions Now find the value of k when the period is 6 . 2 k 6 The period of a cosine function is 2 k. k 2 6 or 1 3 The possible equations are y 9.8 cos 1 3 or y 9.8 cos 1 3. Many real-world situations have periodic characteristics that can be described with the sine and cosine functions. When you are writing an equation to describe a situation

**Lecture 36 Graphing Sine and Cosine With Different**

The formula for graphing trigonometric functions is f(x)= A*sin b(x-o) + k I used sin as an example, it can be replaced with any function. the amplitude is the A value, but there is a caveat, the amplitude is always positive, so amplitude = abs A The period is always equal to (for sin and cos) (2pi)/b for tangent it is pi/b b is the value that comes after sin, but before x, in this case... 18/01/2009 · OK, start with this. y = cos(x) has a base period of 2pi. For example, if you substitute x=0 you get cos(0) = 1 and if you substitute x=2pi you get cos(2pi) = 1.

**SOLUTION Find the domain period range and amplitude of**

The basic period of a cosine is #2pi# and it would change if there was a coefficient in front of #x# in a formula of the function. In this case there are no coeficients, so the period remains unchanged.... The periods of the trigonometric functions sine and cosine are both 2 times pi. The functions tangent and cotangent both have a period of pi. The general formula for the period of a trigonometric function can be determined by dividing the regular period by the absolute value of any multipliers.

## How To Find The Unknown Period Of Cosine Function

### 6-4 Amplitude and Period of Sine and Cosine Functions

- How do you find the amplitude and period of a function y=3
- Use the given graph. Determine the period of the function.
- How do you determine the amplitude and period for y=-2sin
- Analyzing the Sine and Cosine Functions? Yahoo Answers

## How To Find The Unknown Period Of Cosine Function

### When solving trigonometric equations, we find all the angles that make the equation true. If there is no interval given, use periodicity to show the infinite number of solutions. Two ways to visualize the solutions are (1) the graph in the coordinate plane and (2) the unit circle. The unit circle is the more useful of the two in obtaining an answer.

- 7/04/2016 · Finding the Period and Amplitude of a Cosine Function - Quick Example . Category Education; Show more Show less. Loading... Advertisement Autoplay When autoplay is enabled, a suggested video will
- Amplitude and Period of Sine and Cosine Functions Now find the value of k when the period is 6 . 2 k 6 The period of a cosine function is 2 k. k 2 6 or 1 3 The possible equations are y 9.8 cos 1 3 or y 9.8 cos 1 3. Many real-world situations have periodic characteristics that can be described with the sine and cosine functions. When you are writing an equation to describe a situation
- One period of the a) sine function and b) cosine function. The sine function and the cosine function have periods of 2?; therefore, the patterns illustrated in Figure are repeated to the left and right continuously (Figure 2 ).
- 18/01/2009 · OK, start with this. y = cos(x) has a base period of 2pi. For example, if you substitute x=0 you get cos(0) = 1 and if you substitute x=2pi you get cos(2pi) = 1.

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