DominiRican1013
  • DominiRican1013
solve on the interval [0,2pi): 1+sin theta =1/2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
sin theta = 1/2 - 1 = -1/2 first use your calculator to find the angle whose sine is 1/2 -then you can find theta - recall that the sine is negative in the 3rd and 4th quadrants
DominiRican1013
  • DominiRican1013
0.008727? or 30
welshfella
  • welshfella
for sin-1 1/2

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welshfella
  • welshfella
30 degrees or pi/6
welshfella
  • welshfella
i think they want the answer in radians as they wrote (0,2pi)
DominiRican1013
  • DominiRican1013
yes
welshfella
  • welshfella
but pi/6 is not the answer as the sine is negative 1/2 there are 2 solutions - one in 3rd and one in 4th quadrant
welshfella
  • welshfella
|dw:1436893056627:dw|
welshfella
  • welshfella
in 3rd quadrant its pi + pi/6 = 7pi/6 can you work out the one in 4th quadrant?
DominiRican1013
  • DominiRican1013
would it be pi/6, 5pi/6 or 7pi/6, 11pi/6 or pi/3, 5pi/3 or 2pi/3, 4pi/3
welshfella
  • welshfella
which one do you think ?
DominiRican1013
  • DominiRican1013
7pi/6?
welshfella
  • welshfella
yes thats one of the roots whats the other
welshfella
  • welshfella
|dw:1436893297874:dw|
welshfella
  • welshfella
its that angle
DominiRican1013
  • DominiRican1013
11pi/6?
welshfella
  • welshfella
right
DominiRican1013
  • DominiRican1013
You sure ? This is a serious situation
welshfella
  • welshfella
the full circle = 2pi = 12pi/6 12pi/6 - pi/6 = 11pi/6
DominiRican1013
  • DominiRican1013
Thank YOU
welshfella
  • welshfella
yw

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