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Trigonometry

Triangles as simple as 1,2,3

semi-sphere made of triangle trusses.jpg
Geometric Triangles.jpg

Calculators Do DRGs in
High School
?

Poor choice of Abbreviations - DEGREES, RADIANS, GRADIANS

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When using your calculator with trigonometry it is important to choose the proper measurement for a circle. If you don’t you may as well be speaking in another language. A quick review of our circle will help in differentiating the measurements in the figures above and below.

 

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Each measure starts from the initial arm just with different units. Degrees (360) are generally used in math since elementary school and in high school Radians (2 Pi) appear. 

 

Gradians is an attempt to metricize the circle into 400 grades/gons. Only two students in the last year knew this. If you don't know something, ask!

 

Now for interest try these ratios on your calculator making sure you are in the correct measure. Each should give you the same answer.

                          DEGS         RADS         GRADS

                         Cos 45  =  Cos Pi/4  =  Cos 50     

                                       All = 0.707​​​​​​​​​​​​

Degrees and Radians
Gradians

TriAGONOYmetry - NO! NO!
Trig in 20s &
Identities in 8 mins

Trigonometry is just the ratio of sides of triangles relative to an angle. Overtime sides of triangles were given names for the position relative to an angle and then names for the ratios they make. In the first video I demonstrate with three fingers how to visualize the ratios that you can then relate to a diagram. The second video demonstrates how to visualize most of your basic trig identities as well as how they relate to one another. 
 

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Andre Kratochvil

PME, BSc (Hons), BA(Econ), B.Ed., AMT

OCT, NBCT

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Forever Patriotic​​​​

© 2026 by A. Kratochvil

Ottawa ON Canada

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