anonymous
  • anonymous
find the exact value of each expression. tan(sin^(-1)(x/2))
Calculus1
katieb
  • katieb
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freckles
  • freckles
let u=sin^(-1)(x/2) so sin(u)=x/2 draw right triangle
freckles
  • freckles
you will need to find the adjacent side using Pythagorean theorem
freckles
  • freckles
then you can find tan(u) and you will be done

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anonymous
  • anonymous
Ok thanks very much. I understand now
freckles
  • freckles
did you want me to check your answer?
anonymous
  • anonymous
is it x/(4-x^2)?
freckles
  • freckles
almost
freckles
  • freckles
did you put a sqrt( ) on the bottom of all that one junk
freckles
  • freckles
x/sqrt(4-x^2)
anonymous
  • anonymous
so if I put the sqrt the answer is correct
freckles
  • freckles
|dw:1441052791917:dw|
anonymous
  • anonymous
ok I see where the sqrt came from. Thx!!!
freckles
  • freckles
np

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