Sec 7.3: TRIGONOMETRIC SUBSTITUTION

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Presentation transcript:

Sec 7.3: TRIGONOMETRIC SUBSTITUTION

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

Sec 7.3: TRIGONOMETRIC SUBSTITUTION

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)

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.

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.

Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example Find

Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example Find

Sec 7.3: TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-092

Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example Find

Sec 7.3: TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-102

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.

Sec 7.3: TRIGONOMETRIC SUBSTITUTION Example Find