QUESTION 94. dz -22 TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a² + u? sub. to u = a tan 0 u? + a? sub. to u = a sec e INVERSE TRIGONOMETRIC FUNCTIONS Arcsin- Saarctan+c du du 3. Arcsec+c where e constant

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 31E
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Choose between the two hints which best suits the given problem (either trigo. substitution(draw a right triangle with its value) or resulting to inverse trigo.

 

QUESTION 94.
dz
-22
-
TRIGONOMETRIC SUBTITUTION
a? – u? sub. to u = a sin 0
a? + u? sub. to u = a tan 0
u? + a? sub. to u = a sec 0
INVERSE TRIGONOMETRIC FUNCTIONS
du
= Arcsin+C, a >0
1.
SaArctan+c
du
2.
du
=-Arcsec+C
3.
where a is a constant
Transcribed Image Text:QUESTION 94. dz -22 - TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a? + u? sub. to u = a tan 0 u? + a? sub. to u = a sec 0 INVERSE TRIGONOMETRIC FUNCTIONS du = Arcsin+C, a >0 1. SaArctan+c du 2. du =-Arcsec+C 3. where a is a constant
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