Verify the identity. #2 tan 0⚫ cos 0= sin 0 Which of the following four statements verifies the identity? sin 0 sin e cos 0 OA. tan 0 cos 0= sin 0=- = sin 0 cos 0 cos @ OB. tan 0 cos 0= sin 0 COS O sin 0 cos 0 • cos 0= = sin 0 cos e cos e sin e OC. tan 0. cos 0= cos 0. sin 0 = = sin 0 sin 0 cos e cos @ sin 0 OD. tan cos 0= sin 0. = sin @ sin 0 sin 0 Verify the following identity. #3 1 - tan² 0 cos 20 = 2 1+ tan 0 Which of the following four statements establishes the identity? OA. cos 20 = 2 sin 0 cos 0 = 2 1 - tan0 = sec 20 1 - tan 20 2 1 + tan² 0 2 1 - tan0 1 - tan² 0 OB. cos 20 = 2 sin 0 cos 0 = CSC 20 1+ tan² 0 1 - tan² 0 2 OC. cos 20 = cos 20 - sin² 1 - tan 0=- =1 OD. cos 20 = cos 20 - sin² 0 = sec 0 = 1 + tan 0 1 - tan² 0 2 1 + tan 0 csc2 0 2 1 - tan² 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 89E
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Question

Q1) Write the equation of a sine function that has the given characteristics: 

amplitude= 15

period= 4

displacement = -3

2) see attached photo

3) see attached photo

 

 

Verify the identity.
#2 tan 0⚫ cos 0= sin 0
Which of the following four statements verifies the identity?
sin 0
sin e cos 0
OA. tan 0 cos 0=
sin 0=-
= sin 0
cos 0
cos @
OB. tan 0 cos 0=
sin 0
COS O
sin 0 cos 0
• cos 0=
= sin 0
cos e
cos e sin e
OC. tan 0. cos 0= cos 0. sin 0 =
= sin 0
sin 0
cos e
cos @ sin
0
OD. tan cos 0= sin 0.
= sin @
sin 0
sin 0
Transcribed Image Text:Verify the identity. #2 tan 0⚫ cos 0= sin 0 Which of the following four statements verifies the identity? sin 0 sin e cos 0 OA. tan 0 cos 0= sin 0=- = sin 0 cos 0 cos @ OB. tan 0 cos 0= sin 0 COS O sin 0 cos 0 • cos 0= = sin 0 cos e cos e sin e OC. tan 0. cos 0= cos 0. sin 0 = = sin 0 sin 0 cos e cos @ sin 0 OD. tan cos 0= sin 0. = sin @ sin 0 sin 0
Verify the following identity.
#3
1 - tan² 0
cos 20 =
2
1+ tan 0
Which of the following four statements establishes the identity?
OA. cos 20 = 2 sin 0 cos 0 =
2
1 - tan0
=
sec 20
1 - tan 20
2
1 + tan² 0
2
1 - tan0
1 - tan²
0
OB. cos 20 = 2 sin 0 cos 0 =
CSC 20
1+ tan² 0
1 - tan² 0
2
OC. cos 20 = cos 20 - sin²
1 - tan
0=-
=1
OD. cos 20 = cos 20 - sin² 0 =
sec 0
=
1 + tan 0
1 - tan² 0
2
1 + tan 0
csc2 0
2
1 - tan²
0
Transcribed Image Text:Verify the following identity. #3 1 - tan² 0 cos 20 = 2 1+ tan 0 Which of the following four statements establishes the identity? OA. cos 20 = 2 sin 0 cos 0 = 2 1 - tan0 = sec 20 1 - tan 20 2 1 + tan² 0 2 1 - tan0 1 - tan² 0 OB. cos 20 = 2 sin 0 cos 0 = CSC 20 1+ tan² 0 1 - tan² 0 2 OC. cos 20 = cos 20 - sin² 1 - tan 0=- =1 OD. cos 20 = cos 20 - sin² 0 = sec 0 = 1 + tan 0 1 - tan² 0 2 1 + tan 0 csc2 0 2 1 - tan² 0
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