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Math 30-1 (grade 12) Trigonometry
Shortcuts to Topics |
To review grade 11 (Math 20-1) trigonometry click here. |
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| Introduction to Trigonometry | ||||
| Trigonometric Equations | ||||
| Trigonometric Functions Transformations | ||||
| Trigonometric Identities | ||||
| Problem Solving | ||||
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Plotting trigonometrical functions |
Trigonometry, Introduction |
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Introduction Trigonometry book online (PDF format - free download) |
https://open.umn.edu/opentextbooks/textbooks/trigonometry-2014 | |
| Understanding the Unit Circle | ||
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Khan Academy - The Unit Circle |
https://www.khanacademy.org/math/algebra2/trig-functions/unit-circle-definition-of-trig-functions-alg2/v/unit-circle-definition-of-trig-functions-1
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The Unit Circle |
https://www.mathsisfun.com/geometry/unit-circle.html | |
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Unit Circle Activity (Desmos) |
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Trigonometric Equations |
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| Solving Trigonometric Equations: |
Solving Trigonometric Equations |
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- Trigonometric Equations |
http://www.math30.ca/lessons/trigonometry/trigEquations/print/math30.ca_u5l1_trigEquations.pdf
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| press Ctrl F and search for "trig" on this page: |
https://sites.google.com/a/share.epsb.ca/math-2/home/math-30-1 |
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(PDF format) Trigonometric Identities and Equations Complex Numbers and Polar Coordinates |
https://open.umn.edu/opentextbooks/textbooks/trigonometry | |
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Trigonometry Videos (patrickjmt) |
http://patrickjmt.com/?fbclid=IwAR265VtqO00CcOjPz2xWLq9KjIySfE0BfUUWDSfDwS48s8Tj4A56vQl3zQs#trigonometry | |
Once you've learned how to...Convert Radians to Degrees, or Degrees to Radiansyou can then use this utility. |
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(click on the images below to enter the solution) |
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| Ex. 1 | ||
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| Ex. 2 | ||
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but what if instead of
θ the parameter was
θ
+ π/2: how would this change the solution? see answer here. |
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| Ex. 3 | ||
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| Ex. 4 | ||
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| Ex. 5 | ||
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| Ex. 6 | ||
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| Ex. 7 | ||
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| Ex. 8 | ||
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| Ex. 9 | ||
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| Ex. 10 | ||
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| Ex. 11 | ||
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| Ex. 4 | ||
| Ferris Wheel Ex Suggestions | https://docs.google.com/presentation/d/e/2PACX-1vRGmWiShnm_GE29yZ-w8RmwYHhLC8SdQGfPCHEQF4IT1R-WHvHyLT0srGjLiKJQv8BBB2MBfgz34lfs/pub?start=false&loop=false&delayms=3000 | |
Trigonometric Functions Transformations |
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Changing the Wave: |
Stretching, Compressing and Shifting the Sinus Wave | |
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Activity: |
Play with the parameters that influence the sinus function:
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Trigonometric Identities |
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Click here for trigonometrical formuls: |
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| See also Formula Sheet | http://www.mathwords.com/t/trig_identities.htm | ||
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Khan Academy Trigonometrical Identities |
https://www.khanacademy.org/math/precalculus/trig-equations-and-identities-precalc/using-trig-identities-precalc/v/examples-using-pythagorean-identities-to-simplify-trigonometric-expressions
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(PDF format) Trigonometric Identities and Equations Complex Numbers and Polar Coordinates |
https://open.umn.edu/opentextbooks/textbooks/trigonometry
direct link to PDF - scroll to page 248 to see solutions to identities. |
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| Trigonometric Identity Solver |
https://www.symbolab.com/solver/trigonometric-identity-proving-calculator/
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| Wolfram Trigonometric Identity Solver |
https://www.wolframalpha.com/widgets/view.jsp?id=72cb1c1b49019e6455450004363dfba5
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Problem Solving |
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