SOLUTION: sin(X) + cos(x) -6(x) = 0 Solve for X.

Algebra ->  Graphs -> SOLUTION: sin(X) + cos(x) -6(x) = 0 Solve for X.      Log On


   



Question 356044: sin(X) + cos(x) -6(x) = 0
Solve for X.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I used Newton's method in an EXCEL spreadsheet with a starting value of x1=0.5.
f(x)=sin%28x%29%2Bcos%28x%29-6x
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Csin%28x%29%2Bcos%28x%29-6x%29
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f'(x)=cos%28x%29-sin%28x%29-6
x(n+1)=x(n)-f(x(n))/f'(x(n))
The solution quickly settled to x=0.195923