anonymous
  • anonymous
Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Nnesha
  • Nnesha
set it equal to zero then you will get quadratic equation
anonymous
  • anonymous
Yeah I noticed that but can you show me how you to set it up
Nnesha
  • Nnesha
\[\huge\rm 7\sin^2x-14sinx+2+5=0\] add 5 both

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More answers

Nnesha
  • Nnesha
to make it easy let sin(x) x \[\huge\rm 7x^2 -14x+2+5 =0\] |dw:1437508829146:dw| solve for x :-)
anonymous
  • anonymous
Ohh okay thanks
Nnesha
  • Nnesha
let me know what you get
anonymous
  • anonymous
Yeah just give me a min I need to solve another problem real quick
Nnesha
  • Nnesha
sure :=)
anonymous
  • anonymous
7x^2-14x+7
Nnesha
  • Nnesha
equal to zero 0 then take out common factor
anonymous
  • anonymous
7(x^2-2x+1)=0
Nnesha
  • Nnesha
opps sorry i didn't get notification
Nnesha
  • Nnesha
and yes that's right now factor this quadratic equation x^2 -2x +1
anonymous
  • anonymous
7(x-1)(x+1)=0
Nnesha
  • Nnesha
yes right now set these equal to zero \[\huge\rm 7 \cancel= 0 ~~~(x-1)=0~~~(x-1)=0\] solve for x
anonymous
  • anonymous
x=1
anonymous
  • anonymous
what about the sines though?
Nnesha
  • Nnesha
yes now change x with sin
Nnesha
  • Nnesha
remember we changed sin(x) with x right ?
anonymous
  • anonymous
oh yeah
Nnesha
  • Nnesha
so \[\huge\rm sinx =1 \]
Nnesha
  • Nnesha
now use unit circle to find solution
anonymous
  • anonymous
find where one is 1 is y on the unit circle?
Nnesha
  • Nnesha
(cos , sin) x coordinate represent cos function and y coordinate represent sin function
anonymous
  • anonymous
would it be pi/2
Nnesha
  • Nnesha
|dw:1437510845962:dw|
Nnesha
  • Nnesha
yep
anonymous
  • anonymous
thats it, thats the only solution
Nnesha
  • Nnesha
yep right
anonymous
  • anonymous
oh okay thank you so much!
Nnesha
  • Nnesha
my pleasure but remember sinx = 1 multiplicity of 2
anonymous
  • anonymous
I'm gonna post another question can you help me with that one as well, I think i know the answer just confused how to get to the answer
anonymous
  • anonymous
so my answer would be sinx=1^2?
Nnesha
  • Nnesha
no sin x= 1 is right
anonymous
  • anonymous
oh okay
anonymous
  • anonymous
so just to confirm, my answer box would read sinx=1

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