steve816
  • steve816
Please help me! I am so stressed and confused with this problem!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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steve816
  • steve816
\[\sin(\cos^{-1} u)\]
steve816
  • steve816
How would I simplify this?
baru
  • baru
try sin(cos^-1 u) =cos(90-(cos^-1 u))

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baru
  • baru
expand that using cos(A-B) formula
baru
  • baru
nvm...you'll just get back ur original expression
freckles
  • freckles
you can also make a right triangle
freckles
  • freckles
let v=arccos(u) then cos(v)=u then find sin(v) after drawing the right triangle thingy
freckles
  • freckles
if you don't like to draw you can just use the identity sin^2(v)+cos^2(v)=1
steve816
  • steve816
@freckles Can you please help? I still don't get it and it's really bothering me :(
freckles
  • freckles
have you tried replaced cos(v) with u yet?
freckles
  • freckles
\[\sin^2(v)+\cos^2(v)=1 \\ \sin^2(v)+u^2=1 \\ \text{ just solve for } \sin(v)\]
freckles
  • freckles
are you there?
freckles
  • freckles
\[\sin(v)>0 \text{ by the way since } \arccos(u) \in [0,\pi]\]
steve816
  • steve816
ok
freckles
  • freckles
ok you have solved for sin(v)?

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