jakevids31415926 jakevids31415926
  • 08-08-2017
  • Mathematics
contestada

To solve the equation 2sin(2x) = cosx , you should rewrite it as

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lovewithcompass
lovewithcompass lovewithcompass
  • 08-08-2017
since sin(2x)=2sinx cosx
2sin(2x)=
4sinxcosx=cosx
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jbmow
jbmow jbmow
  • 08-08-2017
Sin(2x) =2Sin(x)Cos(x)
Then 2*2Sin(x)Cos(x) = Cos(x)
the Cos(x)'s cancel leaving
4Sin(x) = 1
Sin(x) = 1/4
Arcsin(1/4) = 14.48 degrees
Answer Link

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