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Sec 7.3: TRIGONOMETRIC SUBSTITUTION

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Presentation on theme: "Sec 7.3: TRIGONOMETRIC SUBSTITUTION"— Presentation transcript:

1 Sec 7.3: TRIGONOMETRIC SUBSTITUTION

2 Sec 7.3: TRIGONOMETRIC SUBSTITUTION
NOTE: We convert the radical into a cos function

3 Sec 7.3: TRIGONOMETRIC SUBSTITUTION

4 The main idea is how to get rid of the radicals.
Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example Example Find Find Example Find The main idea is how to get rid of the radicals. ( use trig. Substitution)

5 Find Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example
In the following table we list trigonometric substitutions that are effective for the given radical expressions because of the specified trigonometric identities.

6 Find Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example
In the following table we list trigonometric substitutions that are effective for the given radical expressions because of the specified trigonometric identities.

7 Sec 7.3: TRIGONOMETRIC SUBSTITUTION
Example Find

8 Sec 7.3: TRIGONOMETRIC SUBSTITUTION
Example Find

9 Sec 7.3: TRIGONOMETRIC SUBSTITUTION
EXAM-2 Term-092

10 Sec 7.3: TRIGONOMETRIC SUBSTITUTION
Example Find

11 Sec 7.3: TRIGONOMETRIC SUBSTITUTION
EXAM-2 Term-102

12 Find Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example
hyperbolic substitutions can be used in place of trigonometric substitutions and sometimes they lead to simpler answers. But we usually use trigonometric substitutions because trigonometric identities are more familiar than hyperbolic identities.

13 Sec 7.3: TRIGONOMETRIC SUBSTITUTION
Example Find

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