Tutorial Exercise Make the indicated trigonometric substitution in the given algebraic expression and simplify (see Example 7). Assume that 0 << 7/2. 1 x²√9+x²² x = 3 tan(0) Step 1 Substitute x = 3 tan(0) into the expression. Simplify your answers completely. 2√2-1 x² = tan² (0)√√(

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 75E
Question
SC
9
a
Tutorial Exercise
Z
Make the indicated trigonometric substitution in the given algebraic expression and simplify (see Example 7). Assume that 0 <0</2.
@
Step 1
Substitute x = 3 tan(0) into the expression. Simplify your answers completely.
1
[²√++ (1
9
2
1
x² √9+x²
W
S
1
%
DEBBBAHAUD
5
6
t
x
1
x²√√√9+x²
x = 3 tan(0)
#
3
=
11
e
JL
d
$
C
4
1
)tan²(0)√| 9(
A
V
6.0
g
b
y
h
&
7
n
C
j
8
m
(
9
#
k
O
1
alt
р
{
+
[
ctri
Transcribed Image Text:SC 9 a Tutorial Exercise Z Make the indicated trigonometric substitution in the given algebraic expression and simplify (see Example 7). Assume that 0 <0</2. @ Step 1 Substitute x = 3 tan(0) into the expression. Simplify your answers completely. 1 [²√++ (1 9 2 1 x² √9+x² W S 1 % DEBBBAHAUD 5 6 t x 1 x²√√√9+x² x = 3 tan(0) # 3 = 11 e JL d $ C 4 1 )tan²(0)√| 9( A V 6.0 g b y h & 7 n C j 8 m ( 9 # k O 1 alt р { + [ ctri
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