anonymous
  • anonymous
cos^2(x)+cos(x)sin(x)=0 solve for x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
myininaya
  • myininaya
Try factoring
anonymous
  • anonymous
I factored a cos(x) out but then im stuck
myininaya
  • myininaya
cos(x)( ? + ? ) =0 So what should be in the places of those ?'s once you factor out cos(x)?

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More answers

anonymous
  • anonymous
cos(x)(cosx+sinx)
myininaya
  • myininaya
Yes. Set both factors equal to 0. cos(x)=0 ; cos(x)+sin(x)=0
myininaya
  • myininaya
Solve cos(x)=0 for x And find the value x so that cos(x) and sin(x) are opposites (i.e cos(x)=-sin(x))
anonymous
  • anonymous
cosx=pie/2 ?
myininaya
  • myininaya
cos(x)=0 for x=pi/2 cos(x) does not equal pi/2 But one value that satisfies cos(x)=0 is x=pi/2 Are there any other values?
anonymous
  • anonymous
x=3pi/2
myininaya
  • myininaya
Ok and you can also say we have x=pi/2+2npi where n is an integer or x=3pi/2+2n pi where n is an integer
myininaya
  • myininaya
We also need to find the values of x where cos(x) and sin(x) have opposite values.
myininaya
  • myininaya
|dw:1357920385873:dw| As you can see they will be opposite in quadrant 2 and 4.
myininaya
  • myininaya
|dw:1357920430907:dw| These points is where cos(x) and sin(x) are opposite. Now what angle are these points at from the initial ray?
anonymous
  • anonymous
135 and 315?
myininaya
  • myininaya
Correct.
myininaya
  • myininaya
Now should your answer be in radians or degrees?
anonymous
  • anonymous
um radians?
myininaya
  • myininaya
So 135*pi/180 or 315*pi/180
myininaya
  • myininaya
Don't forget we can go around the circle infinitely many times from those angles.
myininaya
  • myininaya
So 135pi/180+2npi , 315pi/180+2npi
myininaya
  • myininaya
Don't forget the other solutions we wrote above. Good job. :)
anonymous
  • anonymous
thanks!

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