1. tanx cscx-secx cot x sinx-cosx = sin x cos x 1 2. cscx-cotx cscx+cotx tan x 3. costx - sin*x = 1 - 2 sin? x cosx cot x 4. cosx-sinx cotx -1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 38E
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Question

Need to show (NTS) : 

Proof: 

Picture 1 example

Picture 2 Questions

HOMEWORK 9:
sinx-cosx
1.
tanx csc x-secx cot x
= sin x cos x
1
2
2.
cscx-cotx
cscx+cotx
tan x
3. costx - sin4x = 1 - 2 sin? x
cosx
cotx
4.
cosx-sin x
cotx -1
csce
cose
5.
csce-tan e
cos e-sin? e
2 sin a
6. cos?a tan a =
sec a+cos a+sin?a sec a
sin a
7.
:+2 sin a-sin? a sec a
cot a-tan a+2
sec a
sec a csc a-2 tan a
cos a-sin a
8.
cos a+sin a
sin a cos a
secx-1
sin x
9.
secx+1
1+cosx
secx-tanx
cosx
10.
secx+tanx
1+sin x
Transcribed Image Text:HOMEWORK 9: sinx-cosx 1. tanx csc x-secx cot x = sin x cos x 1 2 2. cscx-cotx cscx+cotx tan x 3. costx - sin4x = 1 - 2 sin? x cosx cotx 4. cosx-sin x cotx -1 csce cose 5. csce-tan e cos e-sin? e 2 sin a 6. cos?a tan a = sec a+cos a+sin?a sec a sin a 7. :+2 sin a-sin? a sec a cot a-tan a+2 sec a sec a csc a-2 tan a cos a-sin a 8. cos a+sin a sin a cos a secx-1 sin x 9. secx+1 1+cosx secx-tanx cosx 10. secx+tanx 1+sin x
Let's verify the following identities.
cot? x
1. Need To Show (NTS):
= csc x – sin x
cscx
Proof:
cot? x
cscx
cos? x
= sin2r
sin x
cos? x
sin x
sin? x
1-sin? x
sin x
1
sin x
sin x
= CSC X -
sin x
Transcribed Image Text:Let's verify the following identities. cot? x 1. Need To Show (NTS): = csc x – sin x cscx Proof: cot? x cscx cos? x = sin2r sin x cos? x sin x sin? x 1-sin? x sin x 1 sin x sin x = CSC X - sin x
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