Difference between revisions of "8A F11 Q19"
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| − | | | + | |<math>\arcsin -\frac{\sqrt{3}}{2} = - \frac{\pi}{3}</math> |
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| + | [[8AF11Final|<u>'''Return to Sample Exam</u>''']] | ||
Latest revision as of 00:06, 14 April 2015
Question: Compute Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \arcsin -\frac{\sqrt{3}}{2}} . Provide your answer in radians.
| Foundations | |
|---|---|
| 1) What is the range of ? | |
| 2) Sine of what angle in the range of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \arcsin} yields Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -\frac{\sqrt{3}}{2}} ? | Answer: |
| 1) The range of arcsin is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle [-\frac{\pi}{2}, \frac{\pi}{2}]} . | |
| 2) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sin( -\frac{\pi}{3} ) = -\frac{\sqrt{3}}{2}} . |
Solution:
| Step 1: |
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| Since the range of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \arcsin } is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle [-\frac{\pi}{2}, \frac{\pi}{2}]} , the answer must be in that range. |
| Final Answer: |
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| Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \arcsin -\frac{\sqrt{3}}{2} = - \frac{\pi}{3}} |