Determine value of angle a to the nearest tenth of a degree

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter36: Digital Micrometers
Section: Chapter Questions
Problem 2A: Read the setting on this customary vernier micrometer scale graduated to 0.0001". The vernier,...
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Determine value of angle a to the nearest tenth of a degree

sapps aut
grius provided. fwork is not shown, you may not receive full credit. Partial credit
e awarded on most problems. Be sure to label your answer with units, when necessary.
Given the following: sin a = and < a <n and cos ß = - and n <B<
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2.
Transcribed Image Text:sapps aut grius provided. fwork is not shown, you may not receive full credit. Partial credit e awarded on most problems. Be sure to label your answer with units, when necessary. Given the following: sin a = and < a <n and cos ß = - and n <B< 37 3 2.
Expert Solution
Step 1

Given that 

sin α=13 in the interval π2<α<π

cos β=-13in the interval π<β<3π2

Step 2

To find the values of α and β in degrees

sin α=13 

Applying inverse on both sides we get,

α=sin-113

α=19.47082°+360°n  or α=180°-19.47082°+360°n

It is given that the function lies in the second quadrant

Therefore, consider α=180°-19.47082°+360°n

Substitute n = 0                                                                                        

α=180°-19.47082°α=160.52918°α160.5°

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