anonymous
  • anonymous
Using the graph of y=sin(x), find the values of the interval [-4(pi), (pi)/2] that satisfy the ordered pair (x, 1/2).
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Hero @ganeshie8
anonymous
  • anonymous
\[is the interval (-4\pi,\pi/2)\]
anonymous
  • anonymous
yes

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anonymous
  • anonymous
Do you have a unit circle ? it is just asking for what values of x is sin 1/2 sin(x)=1/2
jdoe0001
  • jdoe0001
\(\bf y=sin(x)\qquad \begin{array}{llll} (x&\frac{1}{2})\\ \uparrow&\uparrow \\ x&y \end{array}\implies \frac{1}{2}=sin(x) \\ \quad \\ sin^{-1}\left( \cfrac{1}{2} \right)=sin^{-1}[sin(x)]\implies sin^{-1}\left( \cfrac{1}{2} \right)=x\)
jdoe0001
  • jdoe0001
so, find that angle, and any other angle with the same value in the range of \(\left[ -4\pi ,\frac{\pi }{2} \right]\)
anonymous
  • anonymous
so what are all the values that satisfy (x,1/2)
jdoe0001
  • jdoe0001
well, as Deeezzzz pointed out, use your Unit Circle
jdoe0001
  • jdoe0001
http://www.shelovesmath.com/wp-content/uploads/2012/11/Unit-Circle1.png <--- there's a unit circle and check the coterminal angles on that given range

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