simplify-cos01+cose 1+cose 4cof 1 cose

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.8: The Reciprocal Of A Real Number
Problem 1OE
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simplify-cos01+cose
1+cose
4cof
1 cose
Transcribed Image Text:simplify-cos01+cose 1+cose 4cof 1 cose
Expert Solution
Step 1

Given,

 

1-cose 1+ cos& _4cot e
1+cos 1-cose
Step 2

On simplification, we get

 

(1-cose) +(1+cos j
(1+ cos 0 )(1-cose)
4cot0
1-2 coscos2 0+1+2cos 0+cos2 0
4cot20
1-cos2 e
2+2cos2e
sinx+ cos' x
:]
4cot0
sin2 0
Step 3

By seperate dividing and further simplifying, we get

 

2cos 4cot2e
sin sin2 0
2
2
2cot20-4cot0
cos.r
cotx
sin 0
sin x
- 2cot0
sin e
2cos e
sin 0
2
sin e
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