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Trigonometry Review

Trigonometry Review. Objectives: By the end of this lesson you will be able to apply simple right triangle trigonometry to a number of related physics problems. Here is an excellent You tube Video to review basic trig functions. http://www.youtube.com/watch?v=zU02b72cv6E.

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Trigonometry Review

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  1. Trigonometry Review • Objectives: By the end of this lesson you will be able to apply simple right triangle trigonometry to a number of related physics problems.

  2. Here is an excellent You tube Video to review basic trig functions. http://www.youtube.com/watch?v=zU02b72cv6E

  3. What you should have learned from watching the Video! • Basic Functions • Most of the trigonometry in the applied physics class has to do with the different parts of a right triangle and the relationships among these different parts. The three basic trigonometric functions—sine, cosine, and tangent—are the tools that define these connections. Given the measure of one of the non-right angles in a right triangle, you can use these tools of trigonometry to find the shape of the triangle. If you are given the measure of one of the non-right angles and one of the sides, you can find all the values of the right triangle. • Basic Functions and the Right Triangle • If you know the measure of one non-right angle, the trigonometric functions tell you the ratio of the lengths of any two sides of the right triangle. • In the right triangle below, the measure of one acute angle is labeled , and the sides of the triangle are labeled hypotenuse, opposite, and adjacent, according to their position relative to the angle of measure . • Sine • The sine of an angle is the ratio of the side opposite the angle over the hypotenuse. • Cosine • The cosine of an angle is the ratio of the side adjacent the angle over the hypotenuse. • Tangent • The sine of an angle is the ratio of the side opposite the angle over the side adjacent to the angle. • A handy way to remember these formulas is the acronym SOHCAHTOA. The “S,” “C,” and “T” stand for the three different basic trigonometric functions, while the two letters after the “S,” “C,” and “T” refer to the sides of the triangle that are being related by that function. • SOH:Sine is the side Opposite the angle divided by the Hypotenuse. • CAH: Cosine is the side Adjacent to the angle divided by the Hypotenuse. • TOA: Tangent is the side Opposite divided by the Adjacent side.

  4. Basic Trigonometric Relationships • Do the Self-Check exercises on the following slide to see if you still need to refresh your knowledge of the use of the trigonometry of the right triangle. The answers to the Self-Check will be given as you complete the exercises.

  5. Self- Check After answering the questions the correct answer will appear.

  6. Self Check After answering the questions the correct answer will appear.

  7. Unit Circle definitions of Trig functions • http://www.youtube.com/watch?v=ZffZvSH285c&feature=fvwrel

  8. Trigonometry Review This will end your basic trig review.Go to the first chapter in your book and see if you can apply the knowledge of trig functions to the “Trig Review” section problems. Good luck!

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