# 3 Verify the identity. 2 CSC x sec x-sec x+ Csc xcot x 2 xsec x cos xsin x= Which of the following four statements establishes the identity? O A. CSC (sin² x+1) cos x COS X 2 = cos x+ = sec x + csc x cot x 2 2 cos x sin x sin x OB. 1 2 sin x+1 2 x+1) X cos x COS X CSC Xsec X- = cos x+: =sec x + csc x cot x 2 cos x sin x 2 cos x sin x 2 sin x X 2 2 2 2 sin CSC x sec x cos xsin x = X+ COS X 2 1 COS X = sec x+ csc x cot x COS X 2 cos x sin X sin x OD. CSC csc 2 x sec x= 2 = (1 + cot 2x) secx= secx+ cot2x sec 1+ cot x secx= secx+ cot x secx= secx+ COS X 1 COS X = secx+ sec x+ csc x cot x 2 COS X Z sin x sin x ㅁㅁ F3 $ 4 000 000 F4 MacBook Air F5 F6 % 25 6 & 29 7 F7 E R T Y U כ D F G H 8* ►11 F8 F9 9 O 0 Time Re J K L F15

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 16RE
Question
#
3
Verify the identity.
2
CSC x sec x-sec x+ Csc xcot x
2
xsec x cos xsin x=
Which of the following four statements establishes the identity?
O A.
CSC
(sin² x+1) cos x
COS X
2
= cos x+
= sec x + csc x cot x
2
2
cos x sin x
sin
x
OB.
1
2
sin x+1
2
x+1)
X
cos x
COS X
CSC
Xsec X-
= cos x+:
=sec x + csc x cot x
2
cos x sin x
2
cos x sin x
2
sin x
X
2
2
2
2
sin
CSC
x sec x cos xsin x =
X+ COS X
2
1
COS X
= sec x+ csc x cot x
COS X
2
cos x sin X
sin x
OD.
CSC
csc 2 x sec x=
2
= (1 + cot 2x) secx= secx+ cot2x sec
1+ cot x secx= secx+ cot x secx= secx+
COS X
1
COS X
= secx+
sec x+ csc x cot x
2
COS X
Z
sin x
sin x
ㅁㅁ
F3
$
4
000
000
F4
MacBook Air
F5
F6
%
25
6
&
29
7
F7
E
R
T
Y
U
כ
D
F
G
H
8*
►11
F8
F9
9
O
0
Time Re
J
K
L
F15
Transcribed Image Text:# 3 Verify the identity. 2 CSC x sec x-sec x+ Csc xcot x 2 xsec x cos xsin x= Which of the following four statements establishes the identity? O A. CSC (sin² x+1) cos x COS X 2 = cos x+ = sec x + csc x cot x 2 2 cos x sin x sin x OB. 1 2 sin x+1 2 x+1) X cos x COS X CSC Xsec X- = cos x+: =sec x + csc x cot x 2 cos x sin x 2 cos x sin x 2 sin x X 2 2 2 2 sin CSC x sec x cos xsin x = X+ COS X 2 1 COS X = sec x+ csc x cot x COS X 2 cos x sin X sin x OD. CSC csc 2 x sec x= 2 = (1 + cot 2x) secx= secx+ cot2x sec 1+ cot x secx= secx+ cot x secx= secx+ COS X 1 COS X = secx+ sec x+ csc x cot x 2 COS X Z sin x sin x ㅁㅁ F3 $ 4 000 000 F4 MacBook Air F5 F6 % 25 6 & 29 7 F7 E R T Y U כ D F G H 8* ►11 F8 F9 9 O 0 Time Re J K L F15
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage