TRIGONOMETRIC SUBSTITUTION TRIGONOMETRIC SUBSTITUTION NOTE We convert the

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TRIGONOMETRIC SUBSTITUTION

TRIGONOMETRIC SUBSTITUTION

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

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

TRIGONOMETRIC SUBSTITUTION

TRIGONOMETRIC SUBSTITUTION

TRIGONOMETRIC SUBSTITUTION Example Find The main idea is how to get rid of the

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

TRIGONOMETRIC SUBSTITUTION Expression

TRIGONOMETRIC SUBSTITUTION Expression

TRIGONOMETRIC SUBSTITUTION Example Find In the following table we list trigonometric substitutions that are

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

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 Example Find

TRIGONOMETRIC SUBSTITUTION Example Find

TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-092

TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-092

TRIGONOMETRIC SUBSTITUTION Example Find

TRIGONOMETRIC SUBSTITUTION Example Find

TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-102

TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-102

TRIGONOMETRIC SUBSTITUTION Example Find hyperbolic substitutions can be used in place of trigonometric substitutions

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

TRIGONOMETRIC SUBSTITUTION Example Find