anonymous
  • anonymous
If sinA=5/6, where angle A is in Quadrant 1, find the exact value of sin (1/2A)
Trigonometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Notamathgenius
  • Notamathgenius
1,172cm(2)
NoelGreco
  • NoelGreco
I assume that's sin (.5A). There is a half-angle formula for sin.
anonymous
  • anonymous
so can you please help me solve the problem?

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ajprincess
  • ajprincess
\[\cos^2A+\sin^2A=1\]\[\cos A=\sqrt{1-\sin^2A}\] From this \(\cos A\) can be found u can find \(\cos A\). Then use \[\cos A=1-2\sin^2(\frac{ 1 }{ 2 }A)\]\[\sin \frac{ 1 }{ 2 }A=\sqrt{\frac{ 1-\cos A }{ 2 }}\] from this u can find \[\sin \frac{ 1 }{2}A\] Does that help?
anonymous
  • anonymous
but do u have an answer?
Notamathgenius
  • Notamathgenius
Mine is at the very top
anonymous
  • anonymous
did u use the half-angle formula because i'm getting a radical?
ajprincess
  • ajprincess
what r u getting?
anonymous
  • anonymous
|dw:1364227944196:dw|
ajprincess
  • ajprincess
|dw:1364228079352:dw||dw:1364228136955:dw| |dw:1364228182827:dw|
ajprincess
  • ajprincess
getting it?
anonymous
  • anonymous
is that the complete answer?
ajprincess
  • ajprincess
yup
anonymous
  • anonymous
ok thank you so much
ajprincess
  • ajprincess
Welcome:) do u get it?
anonymous
  • anonymous
yes :)

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