Ma l 7 2 verifying trigonometric identities
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MA L 7.2 Verifying Trigonometric Identities PowerPoint PPT Presentation


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MA L 7.2 Verifying Trigonometric Identities. Make the left side equal the right. Hints for Proving Identities. Select the more complex side of the = sign to work on. Use double & half-angle formulas is necessary to get all trig functions of the same angle (x)

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MA L 7.2 Verifying Trigonometric Identities

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Ma l 7 2 verifying trigonometric identities

MA L 7.2 Verifying Trigonometric Identities

Make the left side equal the right.


Hints for proving identities

Hints for Proving Identities

  • Select the more complex side of the = sign to work on.

  • Use double & half-angle formulas is necessary to get all trig functions of the same angle (x)

  • Carry out any algebraic manipulations, such as adding, subtracting, multiplying, or factoring.

  • If given rational expressions, get LCD.

  • Converting all expressions to sines and cosines is often helpful.

  • If working on the left side, constantly refer to the right and see how you can get something on the left to match the right.

  • Try Something! Put your pencil to work and get involved. There is usually more than one method. If you find your equation getting further complicated, start over with a new approach.


Let s begin with what we already know

Let’s begin with what we already know.


The pythagorean theorem yields

The Pythagorean theorem yields…


Ma l 7 2 verifying trigonometric identities

Here are three KEY techniques:

Replacing

Replacing

Using the Quadratic Formula


Ma l 7 2 verifying trigonometric identities

1=1


Ma l 7 2 verifying trigonometric identities

Example 3

33

3


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