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TRIGONOMETRIC SUBSTITUTION. NOTE: We convert the radical into a cos function.

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Presentation on theme: "TRIGONOMETRIC SUBSTITUTION. NOTE: We convert the radical into a cos function."— Presentation transcript:

1 TRIGONOMETRIC SUBSTITUTION

2 NOTE: We convert the radical into a cos function

3 TRIGONOMETRIC SUBSTITUTION

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

5 TRIGONOMETRIC SUBSTITUTION Expression

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

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

8 TRIGONOMETRIC SUBSTITUTION Example Find

9 TRIGONOMETRIC SUBSTITUTION Example Find

10 TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-092

11 TRIGONOMETRIC SUBSTITUTION Example Find

12 TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-102

13 TRIGONOMETRIC SUBSTITUTION Example Find 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.

14 TRIGONOMETRIC SUBSTITUTION Example Find

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