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

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Presentation transcript:

TRIGONOMETRIC SUBSTITUTION

NOTE: We convert the radical into a cos function

TRIGONOMETRIC SUBSTITUTION

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

TRIGONOMETRIC SUBSTITUTION Expression

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.

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.

TRIGONOMETRIC SUBSTITUTION Example Find

TRIGONOMETRIC SUBSTITUTION Example Find

TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-092

TRIGONOMETRIC SUBSTITUTION Example Find

TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-102

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.

TRIGONOMETRIC SUBSTITUTION Example Find