anonymous
  • anonymous
f(x) = cos(x - 4) - 8 find the inverse function of the function f
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
y= cos(x-4) -8 cos(x-4) = y+8 x-4 =cos^{-1}(y+8) x=4+ cos^{-1}(y+8) so the inverse is 4+ cos^{-1}(y+8)
myininaya
  • myininaya
y=cos(x-4)-8 (you should define a domain for this function that will make the function 1 to 1) y+8=cos(x-4) cos^{-1}(y+8)=x-4 cos^{-1}(y+8)+4=x f^{-1}(x)=cos^{-1}(x+8)+4
anonymous
  • anonymous
sin(cos-1 1/2 - sin-1 squareroot 3 over 2) --> how do you find the exact value of this??

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myininaya
  • myininaya
cos^{-1}(1/2)=a cosa=1/2 so a=pi/3 sin^{-1}(sqrt{3}/2)=b sinb=sqrt{3}/2 so b=pi/3 sin(pi/3-pi/3)=sin(0)=0
anonymous
  • anonymous
dang thanks!!
anonymous
  • anonymous
cos(tan-1 5/12 - cos-1 4/5) its multiple choice A) 7/13 B)63/65 c)52/65 d)13/24
anonymous
  • anonymous
thats simple
myininaya
  • myininaya
B
anonymous
  • anonymous
let a be the first thing, b be the second and expand
myininaya
  • myininaya
also you can just put it in you calculator and then look at the fractions to see which one it is
myininaya
  • myininaya
thats the cheating way
anonymous
  • anonymous
sin[pi/4 + x] = squareroot2(cos x + sin x)
anonymous
  • anonymous
I'm suppose to establish the identity
anonymous
  • anonymous
you can express tan inverse in terms of cos inverse as tan^(-1) (a/b)= cos^(-1) (b/sqrt(a^2+b^2)) then use cos^(-1) a + cos^(-1) b formula to find the answer
anonymous
  • anonymous
thanks shankvee!!!!! for all your help!

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