**Transforming the Graphs of Sine and Cosine Concept**

In the graph of the sine function, the \(x\)-axis represents values of \(\theta\) and the \(y\)-axis represents values of \(\sin \theta\). For example, \(\sin 0=0,\) implying that the point \((0,0)\) is a point on the sine graph. If we plot the values of the sine function for a large number of angles \(\theta\), we see that the points form a curve called the sine curve: Similarly, plotting the... In the graph of the sine function, the \(x\)-axis represents values of \(\theta\) and the \(y\)-axis represents values of \(\sin \theta\). For example, \(\sin 0=0,\) implying that the point \((0,0)\) is a point on the sine graph. If we plot the values of the sine function for a large number of angles \(\theta\), we see that the points form a curve called the sine curve: Similarly, plotting the

**Transforming the Graphs of Sine and Cosine Concept**

To solve these problems, just start at the x-axis and look for the first time that the graph returns to that 'height.' So, in this case, we're looking for the time when the graph returns to the -.5 value …... y = 5 sin(x) will stretch/shrink the height of the sine graph by a factor of _____. The amplitude of this graph is:_____. ===== “ B ” controls the length of one cycle, or the period of the curve. The period of the sine curve y = sin(x) is . The period of the sine curve y = sin Bx is . This is because the number B stretches or shrinks the curve in the x direction. If the number B is bigger

**Transforming the Graphs of Sine and Cosine Concept**

The multiplier B affects the length of the graph’s period, or how far it goes along the x-axis. The sine, cosine, cosecant, and secant all normally have a period of 2 π . … how to grow blue lotus The value [latex]\frac{C}{B}\\[/latex] for a sinusoidal function is called the phase shift, or the horizontal displacement of the basic sine or cosine function. If C > 0, the graph shifts to the right. If C < 0,the graph shifts to the left. The greater the value of

**Transforming the Graphs of Sine and Cosine Concept**

Find each value by referring to the graph of the sine or the cosine function. 6. cos 2 7. sin 5 2 8. Find the values of for which sin 1 is true. Graph each function for the given interval. 9. y cos x, 5 x 7 10. y sin x, 4 x 2 11. Determine whether the graph represents y sin x, y cos x, or neither. Explain. 12. Meteorology The equation y 49 28 sin 6 (t 4) models the average monthly temperature how to find a lifting partner As the value of b increases, the graph of find the equation of the sine wave. CH 10.1.notebook 33 April 03, 2012 Graph Sine, Cosine, and Tangent Functions. CH 10.1.notebook 34 April 03, 2012 Graph Sine, Cosine, and Tangent Functions Find the b value of the function. CH 10.1.notebook 35 April 03, 2012 Graph Sine, Cosine, and Tangent Functions The period of the wave is , so to find b, use

## How long can it take?

### Transforming the Graphs of Sine and Cosine Concept

- Transforming the Graphs of Sine and Cosine Concept
- Transforming the Graphs of Sine and Cosine Concept
- Transforming the Graphs of Sine and Cosine Concept
- Transforming the Graphs of Sine and Cosine Concept

## How To Find The B Value Of A Sine Graph

As the value of b increases, the graph of find the equation of the sine wave. CH 10.1.notebook 33 April 03, 2012 Graph Sine, Cosine, and Tangent Functions. CH 10.1.notebook 34 April 03, 2012 Graph Sine, Cosine, and Tangent Functions Find the b value of the function. CH 10.1.notebook 35 April 03, 2012 Graph Sine, Cosine, and Tangent Functions The period of the wave is , so to find b, use

- Graph a sine or cosine function having a horizontal and vertical translation. 1 Learning Objectives 2 4 3. Vertical Translations In general, the graph of y = f(x) + k is the graph of y = f(x) translated k units vertically. If k is a positive number, the translation is up. If k is a negative number, the translation is down. Example 1 Sketch the graph of and . Example 2: Sketch the graph of
- Values of the Sine and Cosine Functions We have seen a point ( x , y ) on a graph of a function. The first coordinate is the input or value of the variable, and the second coordinate is the output or value …
- (b) Graph of Cosine x - with varying amplitudes Now let's see what the graph of y = a cos x looks like. This time the angle is measured from the positive vertical axis.
- The multiplier B affects the length of the graph’s period, or how far it goes along the x-axis. The sine, cosine, cosecant, and secant all normally have a period of 2 π . …