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Listed under:  Trigonometric ratios

### Trig degrees

Use a unit circle tool to explore sine, cosine and tangent values in different quadrants. Determine the values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of the graphs and the values for the functions in different quadrants. Observe the graphs animate and ...

### Trig degrees: tangent to 360

Use a unit circle tool to explore tangent values in different quadrants. Determine the tan Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of tan Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and ...

Use a unit circle tool to explore sine, cosine and tangent values in different quadrants. Determine the values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of the graphs and the values for the functions in different quadrants. Observe the graphs animate ...

### Trigonometry: assessment

Test your understanding of angles and their sine, cosine and tangent values. Use a unit circle tool to find sine, cosine and tangent values in different quadrants. Use the tool to find the angle when given sine, cosine or tangent values. Determine the values for angles between 0° and 360°. Solve problems by using the unit ...

### EagleCat: trig-G

Explore the graphs of trigonometric equations in the form: (a) y = a sin[n(x - h)] + k, (b) y = a cos[n(x - h)] + k and (c) y = a tan[n(x - h)] + k. Use sliders or enter values to dilate, reflect and translate the basic trigonometric equations y = sin(x), y = cos(x) and y = tan(x), and observe the changes in the amplitude, ...

### Trigonometry: finding angles

Look at an explanation of the trigonometric ratios: sine, cosine and tangent. Adjust the angles of a right-angled triangle within a unit circle (radius of one unit). Set the cosine, sine and tangent values of angles from 0–90 degrees. Identify the angle for each of the values. This learning object is one in a series of ...

### TIMES Module 22: Measurement and Geometry: introductory trigonometry - teacher guide

This is a 20-page guide for teachers containing an introduction to the three basic trigonometric ratios. A history of trigonometry concludes the module.

### Trig degrees: sine to 360

Use a unit circle tool to explore sine values in different quadrants. Determine the sin Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of sin Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and table ...

### Trig degrees: cosine to 360

Use a unit circle tool to explore cosine values in different quadrants. Determine the cos Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of cos Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and table ...

Use a unit circle tool to explore sine values in different quadrants. Determine the sin Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of sin Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...

Use a unit circle tool to explore cosine values in different quadrants. Determine the cos Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of cos Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...

Use a unit circle tool to explore tangent values in different quadrants. Determine the tan Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of tan Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...

### Trigonometry: sine

Look at an explanation of the trigonometric ratios: sine, cosine and tangent. Adjust the angles of a right-angled triangle within a unit circle (radius of one unit). Find corresponding sides in similar triangles and find relationships between ratios. Identify the sine ratio and enter the sine values of angles from 0–90 ...

### TIMES Module 25: Measurement and Geometry: trigonometric functions - teacher guide

This is a 21-page guide for teachers. It provides an introduction to the sine, cosine and tangent functions and applications of these.

### Laptop wrap: Talking trigonometry

In this laptop-friendly resource, students consolidate their understanding of trigonometry by investigating practical applications of the ratios, highlighting the process they used to find a solution.

### Trig degrees: sine tool

Use a unit circle tool to explore sine values for angles between 0° and 360°. Observe the graph being drawn as each sine value is plotted. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.

### Trig degrees: cosine tool

Use a unit circle tool to explore cosine values for angles between 0° and 360°. Observe the graph being drawn as each cosine value is plotted. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.

### Trig degrees: tangent tool

Use a unit circle tool to explore tangent values for angles between 0° and 360°. Use the information to determine what the graph of tan Ø will look like. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.

### Trig degrees: sine to 360: demo

Watch a demonstration showing how sine is defined in the unit circle. Connect this definition with the right-angled triangle definition commonly used in right-angled triangle trigonometry. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.

### Trig degrees: cosine to 360: demo

Watch a demonstration showing how cosine is defined in the unit circle. Connect this definition with the right-angled triangle definition commonly used in right-angled triangle trigonometry. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.