Trig 102 Any Angle
Create any integer angle triangle below following the instructions given below:
Use the slider tool  to create a slider α, click on top left of screen select Angle, change 360° to 90°, then Apply.
Use the line tool and create a line from left to right by first clicking on this icon  to create Line AB
Select  . Right click on the point B and rename as point C
Click on the lower right of the Angle  tool to select Angle with Given Size  , click on C followed be A, change the value of 45° to α, click on OK.
In Input bar, Type: Line[A,C'] {You could use the line tool and select A then C'.}
Select the Perpendicular tool  , click on C and the line a
Type in the input bar: Intersect[b,c] {Find the intersect tool  under the point tool  , click on line b then c.}
Right click on line a and rename to a1, repeat with line b and c. Then hide a1, b1, c1, and C'.
Type: Segment[B,C] {or use the segment tool  under the line tool }
Type: Segment[A,C] and Segment[A,B]
<Ctrl><e> then select Segment | Basic tab | change Name to Name & Value.
Scroll until the triangle fits in the screen. Move point A or point B to adjust the size to a value of 1.
Move the slider α to observe the effect on the triangle.
To help enter it into text box, <right click> on this formula, select show source, highligh text, <ctrl><c> to copy, and paste into a text box: $$ "sin\; A\; =\; \frac {opp}{hyp}\; =\; \frac {"+a+"}{"+c+"}\; =\; " + (a/c) $$
Continue editing this string to enter cosine and tangent functions.
Move the sliders to observe the effect on the functions, record the values of the functions in the answer form below.
You have created a variable angle triangle. Answer the questions below, then Print the page using File | Print | Ok. in the browser menu.
A B Cron, March 1, 2011, Created with GeoGebra
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