PoojaMoolya at 11:09, 28 October 2020

2020-10-28T11:09:22Z

PoojaMoolya: Created page with "{|border=1 ||'''Time''' ||'''Narration''' |- || 00:01 || Welcome to this tutorial on '''Introduction to Trigonometry using GeoGebra'''. |- ||00:08 || In this tutorial, we wi..."

2020-10-21T07:11:38Z

Created page with "{|border=1 ||'''Time''' ||'''Narration''' |- || 00:01 || Welcome to this tutorial on '''Introduction to Trigonometry using GeoGebra'''. |- ||00:08 || In this tutorial, we wi..."

New page

{|border=1
||'''Time'''
||'''Narration'''

|-
|| 00:01
|| Welcome to this tutorial on '''Introduction to Trigonometry using GeoGebra'''.

|-
||00:08
|| In this tutorial, we will learn how to construct,

A unit circle

|-
|| 00:14
|| A right triangle inside the unit circle using '''GeoGebra'''.
|-
|| 00:19
|| To follow this tutorial, you should be familiar with the

'''GeoGebra interface'''

|-
|| 00:26
|| basics of geometry, trigonometry and graphs.
|-
|| 00:31
|| Here I am using-

Ubuntu Linux OS version 14.04

GeoGebra 5.0.388.0 hyphen d.
|-
|| 00:43
|| I have already opened the '''GeoGebra''' interface.
|-
|| 00:47
|| Click on '''Move Graphics View''' tool.
|-
|| 00:51
|| Drag the '''origin''' to the centre of the '''Graphics''' view.
|-
||00:56
|| Under '''Move Graphics View''', click on '''Zoom In''' tool.

|-
|| 01:00
|| Then click on screen in '''Graphics''' view.

|-
|| 01:03
|| This will magnify the '''Graphics''' view.

|-
||01:08
|| Click on''' Slider''' tool and then click on the screen in '''Graphics''' view.
|-
|| 01:16
|| '''Slider''' dialogue appears in the '''Graphics''' view.
|-
|| 01:20
|| By default, the '''Number''' radio-button is selected.
|-
|| 01:24
|| In the '''Name''' field, type '''radius'''.
|-
|| 01:28
|| Set '''Minimum''' value as 1, '''Maximum''' value 5 and '''Increment''' of 0.1.
|-
|| 01:39
|| Click '''OK''' button.
|-
|| 01:41
|| This creates a '''number slider''' named '''radius'''.

|-
|| 01:45
|| Using the '''slider''', radius can be changed from 1 to 5 in increments of 0.1.
|-
|| 01:52
|| Click on '''Slider''' tool and then click on the screen in '''Graphics''' view.
|-
|| 01:59
|| '''Slider''' dialogue box appears.
|-
|| 02:01
|| This time, select '''Angle''' radio button.
|-
|| 02:05
|| '''Minimum, Max''' and '''Increment''' should be 0 degrees 360 degrees and 1 degree, respectively.
|-
|| 02:12
|| Click '''OK'''.
|-
|| 02:15
|| This sets up '''alpha''' slider, on which angle '''alpha ''' can be changed from 0 to 360 degrees.
|-
|| 02:23
|| Click on '''Circle with Center and Radius''' tool.
|-
|| 02:28
|| Place the cursor on the '''origin''' (0,0) and click on it.
|-
||02:34
|| '''Circle with Centre and Radius''' text box appears.
|-
||02:39
|| In text box, type '''radius''' and click '''OK''' .
|-
|| 02:45
|| A circle with center '''A''' at the '''origin''' is drawn.

Please note, we are using '''A''' for '''O'''(0,0).
|-
|| 02:54
|| Drag the '''radius''' slider from 1 to 5 to change the radius of the circle.

|-
|| 03:00
|| Drag it to 1 to have a unit circle.
|-
|| 03:04
|| Click on '''Segment''' tool.

|-
|| 03:07
|| Click on the circumference of the circle at the '''x Axis'''.

This creates point '''B'''.
|-
|| 03:16
|| Then click on point ''' A''' to draw '''segment AB'''.
|-
|| 03:21
|| Now click on '''Angle with Given Size''' tool.
|-
|| 03:25
|| Click on '''point B''', then '''point A'''.
|-
|| 03:31
|| '''Angle with Given Size''' text-box appears.
|-
|| 03:35
|| In the text box, delete '''45 degrees''' and select '''alpha α''' from the symbol menu.
|-
|| 03:43
|| Leave direction at '''counter clockwise''', click '''OK'''.
|-
||03:48
|| '''Angle B prime AB ''' is created which is equal to '''beta β''' which is equal to '''alpha α'''.
|-
|| 03:57
|| Drag the '''alpha α''' slider from '''0''' to '''360 degrees''.
|-
||04:03
|| '''B prime''' moves in counter clockwise direction around the circle as '''alpha ''' increases.
|-
||04:10
|| Now drag the '''alpha α''' slider so that '''beta β''' value is between '''50''' and '''60 degrees'''.
|-
|| 04:18
|| Click on '''Point''' tool and click outside the circle to create '''point C'''.
|-
|| 04:26
|| In the '''Algebra''' view, double-click on point '''C''' to change its coordinates.
|-
||04:32
|| Type '''x B prime''' as '''x-coordinate''' and '''y-coordinate''' as zero and press '''Enter'''.
|-
|| 04:43
|| This will shift point '''C''' right under ''' B prime'''.
|-
|| 04:48
|| Click on '''Segment''' tool.

|-
|| 04:51
|| Click on points '''B prime''' and '''A''' to join them.
|-
||04:57
|| This forms the hypotenuse of the right triangle '''A C Bprime'''.
|-
||05:03
|| Now using '''Segment''' tool join '''B prime''' and '''C'''.
|-
|| 05:08
|| A right angle is formed at '''C''' angle '''A C Bprime'''.
|-
||05:14
|| Angle '''B prime A C''' is equal to '''alpha ''' which is equal to '''beta degrees'''.
|-
|| 05:21
|| Drag the '''alpha ''' slider from 0 degree to 360 degrees to see how '''alpha ''' changes.
|-
|| 05:30
|| Let us enhance the visibility of the triangle.
|-
|| 05:34
|| Double-click on angle '''beta β'''.

Click on '''Object properties'''.
|-
|| 05:40
|| Click on the '''Color''' tab.

Leave color as green.
|-
|| 05:45
|| Increase '''Opacity''' to 25.
|-
|| 05:49
|| Click on '''Style''' tab.

Increase '''size''' to 50.

|-
|| 05:55
|| Change the '''Decoration''' to '''arrow pointing counter clockwise'''.
|-
|| 06:00
|| Close the '''Preferences''' dialogue-box.
|-
||06:03
|| I will now change the properties of the triangle segments.
|-
|| 06:07
|| To change the colour of the '''segments''', double-click on '''segment A B prime'''.

Select '''Object Properties'''.
|-
||06:16
|| Click on '''Color''' tab.

Select '''blue'''.
|-
|| 06:20
|| Similarly, change the colors of '''C B prime''' to red and of '''AB''' to orange.
|-
|| 06:32
|| To rename the '''segments''', right-click on '''segment A B prime'''.

|-
|| 06:39
||Choose '''Rename''' option.

|-
|| 06:43
||Type '''c''' in the '''name''' field and click '''OK'''.
|-
|| 06:48
|| Similarly, rename '''C B prime''' to '''a''' and '''AC''' to '''b'''.
|-
|| 06:59
|| If you wish, you may change the '''Line Thickness''' and the '''Line Style''' in the '''Style''' tab.
|-
|| 07:09
|| In '''Algebra''' view, click and highlight segment '''a'''.

|-
|| 07:13
||Holding the '''Shift''' key down, highlight all 3 segments.
|-
|| 07:20
|| In '''Graphics''' view, click on '''Hidden''' option.
|-
|| 07:25
|| All three labels are hidden.
|-
|| 07:28
|| Now let us change '''x Axis''' units to '''radians'''.
|-
|| 07:32
|| Double click on '''x axis''' in '''Graphics''' view then on '''Object Properties'''.
|-
|| 07:39
|| In the '''Object Properties''' menu, click on '''Preferences Graphics''' then on '''x Axis'''.
|-
|| 07:47
|| Check the '''Distance''' option, select '''pi over 2'''.

|-
|| 07:53
||Select the '''Ticks''' first option.
|-
|| 07:56
|| Close the '''Preferences''' box.
|-
|| 07:59
|| Units of '''x-axis''' are in '''radians''' with the intervals shown.

|-
|| 08:05
||'''GeoGebra''' will convert degrees of angle '''alpha ''' to '''radians'''.
|-
||08:11
|| Let us summarize.
|-
|| 08:13
|| In this tutorial, we have learnt how to use '''GeoGebra''' to construct a unit circle and a right triangle inside it.
|-
|| 08:22
|| As an Assignment,

Try constructing circles with radius 2 and 3 units.

|-
|| 08:29
||Draw right triangles in these circles.

|-
|| 08:32
||Also try different styles, opacity & thickness.
|-
|| 08:37
|| The video at the following link summarizes the Spoken Tutorial project.

Please download and watch it.
|-
||08:45
|| The '''Spoken Tutorial Project''' team conducts workshops and gives certificates.

For more details, please write to us.
|-
|| 08:53
|| Please post your timed queries on this forum.
|-
|| 08:57
|| '''Spoken Tutorial Project''' is funded by NMEICT, MHRD, Government of India.

|-
|| 09:05
||More information on this mission is available at this link.
|-
||09:10
|| This is Vidhya Iyer from IIT Bombay signing off.

Thank you for joining.
|-
|}

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-|| '''Slider''' dialogue box appears.
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-|| Close the '''Preferences''' dialogue-box.
+|| Close the '''Preferences''' dialog-box.
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Applications-of-GeoGebra/C2/Introduction-to-Trigonometry-Using-GeoGebra/English-timed - Revision history

PoojaMoolya at 11:09, 28 October 2020

PoojaMoolya: Created page with "{|border=1 ||'''Time''' ||'''Narration''' |- || 00:01 || Welcome to this tutorial on '''Introduction to Trigonometry using GeoGebra'''. |- ||00:08 || In this tutorial, we wi..."