Find the exact value sin[sin^-1(-4/5)-tan^-1(3/4)]

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Find the exact value sin[sin^-1(-4/5)-tan^-1(3/4)] 

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Step 1

Trigonometry homework question answer, step 1, image 1

 

Use relation between sin-1 and tan-1

Trigonometry homework question answer, step 1, image 2

 

The expression is re written as,

Trigonometry homework question answer, step 1, image 3

 

Step 2

Using the property tan(-x)=-tan(x),

Trigonometry homework question answer, step 2, image 1

Trigonometry homework question answer, step 2, image 2

 

 

 

 

 

 

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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,