SOLUTION: Dear sir, Please help me in giving the solution to the foll.problem as I am a chemical engineer in doing simulation softwares Please reply how to determine the value of THETTA in

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Question 2993: Dear sir,
Please help me in giving the solution to the foll.problem as I am a chemical engineer in doing simulation softwares
Please reply how to determine the value of THETTA in the foll.problem
THETTA - SIN(THETTA) = 3.4545
I had tried by using Taylor Series but i did't get the correct answer.
Please Solve that Problem and tell me any other simple method is there.
Regards,
Suresh.V

Found 2 solutions by longjonsilver, khwang:
Answer by longjonsilver(2297) (Show Source):
You can put this solution on YOUR website!
from my rusty memory, i would suggest that you need to use an iterative process (numerical method) to solve this.
Hopefully, you will have covered these on your course. If not, re-submit this for someone better to reply with an analytical solution.
Jon.

Answer by khwang(438) (Show Source):
You can put this solution on YOUR website!
For this kind of question there is no correct answwer, since we only can
have approximated answers.(dependng how accuracy is required.)
As I showed you to use sin x = x - x^3/6
or x - x^3/6 + x^5/150
to get some values.
If you use Newton's iteation method ,let f(x) = x -sin x - 3.4545
xn+1 = xn - f(xn)/f'(xn) by choosing some xo(say 1) to start.
Whatever methods you use , there is no correct answer.
Kenny