Difference between revisions of "008A Sample Final A, Question 19"

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(Created page with "'''Question: ''' Compute <math>\arcsin -\frac{\sqrt{3}}{2}</math>. Provide your answer in radians. {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundat...")
 
 
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
!Foundations
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!Foundations: &nbsp;
 
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|1) What is the range of <math>\arcsin </math>?
 
|1) What is the range of <math>\arcsin </math>?
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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|Since the range of <math>\arcsin </math> is <math> [-\frac{\pi}{2}, \frac{\pi}{2}]</math>, the answer must be in that range.
 
|Since the range of <math>\arcsin </math> is <math> [-\frac{\pi}{2}, \frac{\pi}{2}]</math>, the answer must be in that range.
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|<math>\arcsin -\frac{\sqrt{3}}{2} = - \frac{\pi}{3}</math>
 
|<math>\arcsin -\frac{\sqrt{3}}{2} = - \frac{\pi}{3}</math>

Latest revision as of 23:04, 25 May 2015

Question: Compute . Provide your answer in radians.

Foundations:  
1) What is the range of ?
2) Sine of what angle in the range of yields ? Answer:
1) The range of arcsin is .
2) .

Solution:

Step 1:  
Since the range of is , the answer must be in that range.
Final Answer:  

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