secx + 1 51. secx - 1 (cscx + cotx)? %3D 52 56 verify that the equat

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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I need help on question #51 for pre-calculus.

secx
tanx
42.
41.
tanx
= cos.rcot.x
cscx
secx
1
1
= 2 sec't
1
43.
1 + sint
44.
sect - 1
1-sint
1.
1
1
45.
1+secx
= 2cotxcscx
46.
1 cscx
%3D
1-secx
For Exercises 47-52, verify that the equation is an identity. (See Example 6)
sin 0
cos O
47.
csc 0- cot 0
= 1 + cos 0
48.
tan 0 + s
010001013
1
1- sinx
cos°x
1
49.
cosx + sinxcosx
50.
sinx - s
cos'x
secx + 1
51.
secx -1
sinx + c
52.
sinx –
= (cscx + cot.x)?
For Exercises 53–56, verify that the equation is an identity. (See Example 7)
54. In cott
anoi 56. In/csc 6
53. In/cost- In|cott|
In|sint|
%3D
55. In sec 0+ tan 0|
= -In|sec 0 - tan 0|
%3D
For Exercises 57–60, simplify each side of the equation independently to reach
(Soo Frromplo 8)
Transcribed Image Text:secx tanx 42. 41. tanx = cos.rcot.x cscx secx 1 1 = 2 sec't 1 43. 1 + sint 44. sect - 1 1-sint 1. 1 1 45. 1+secx = 2cotxcscx 46. 1 cscx %3D 1-secx For Exercises 47-52, verify that the equation is an identity. (See Example 6) sin 0 cos O 47. csc 0- cot 0 = 1 + cos 0 48. tan 0 + s 010001013 1 1- sinx cos°x 1 49. cosx + sinxcosx 50. sinx - s cos'x secx + 1 51. secx -1 sinx + c 52. sinx – = (cscx + cot.x)? For Exercises 53–56, verify that the equation is an identity. (See Example 7) 54. In cott anoi 56. In/csc 6 53. In/cost- In|cott| In|sint| %3D 55. In sec 0+ tan 0| = -In|sec 0 - tan 0| %3D For Exercises 57–60, simplify each side of the equation independently to reach (Soo Frromplo 8)
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