anonymous
  • anonymous
Solve this equation on the interval 0 θ < 2π. If there is only one solution, write it in the first box and write NONE in the second box. If there is no solution, write NONE in both boxes. Round your answer(s) to two decimal places using radians. -2 cos(θ) + 1 = 2 θ = (smaller value of θ) θ = (larger value of θ)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
the interval is 0( which is less than or equal to) theta ( which is less than) 2pi
anonymous
  • anonymous
-2cos(x) = 1 cos(x) = -1/2 the related angle is cos inverse of 1/2 , which is 60 degrees
anonymous
  • anonymous
cos is negative in the 2 and 3 quadrants

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anonymous
  • anonymous
x= 180 -60 and x= 180 + 60 x= 120 , 240 degrees
anonymous
  • anonymous
\[\frac{2\pi}{3} , \frac{4\pi}{3} \] in radians
anonymous
  • anonymous
thanks. but the answer seems to be wrong? not sure why
anonymous
  • anonymous
I am fairly sure what I did was correct
anonymous
  • anonymous
could it be because the question says round the answer to two decimal points in radians?
anonymous
  • anonymous
yes lol :|
anonymous
  • anonymous
obviously if you entered the exact values then they wouldnt like it
anonymous
  • anonymous
I assumed you would know how to convert the exact values into radians, lol, just calculator work
anonymous
  • anonymous
yes, however i dont have a calc lol! i think the first one is 2(3.14)/3 ?
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=cos%28x%29+%3D-1%2F2+%2C+0%3Cx%3C360 theres a calculator even solves eqns and integrals and everything
anonymous
  • anonymous
I use it to check my answers
anonymous
  • anonymous
ok thanks. but to be 100% sure(kind of forgot) radians is using pi as 3.14?
anonymous
  • anonymous
yes approx that ,
anonymous
  • anonymous
thanks mate. got it right!
anonymous
  • anonymous
would you also be able to show me how to do the question just above this question?

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