how to solve equations ?

I want to solve equations sin(x) and straight line y=0.5, in a specified domain, for example: I want to solve y=sin(x) and y=0.5 in domain 0<x<360, and get the intersecting points.

Answer 1

[Mischa Kim]

Symbolically,

syms x
solve(sin(x) - 0.5 == 0,x)
ans =
     pi/6
 (5*pi)/6

Numerically,

 myfun = @(x) sin(x) - 0.5;
 fsolve(myfun,0)  % guess: 0
 ans =
   0.523598768728013

For other numeric solutions you need to adjust the guess value.

[Kanav Vij]

thanks mischa for your answer,but when writing the above I,m getting error

??? Error using ==> char Conversion to char from logical is not possible.

Error in ==> solve>getEqns at 169 vc = char(v);

Error in ==> solve at 67 [eqns,vars] = getEqns(varargin{:}); Also can you tell me if I want to specify a range such as 0<x<720 or bigger. I'm trying to use assume(0<=x<=720), but there is error coming

??? Error using ==> sym.sym>notimplemented at 2514 Function 'le' is not implemented for MuPAD symbolic objects.

Error in ==> sym.sym>sym.le at 825 notimplemented('le');

I'm using matlab 7.10.0 (R2010a)

Answer 2

[Karam Daher]

Write a program that finds the smallest even integer that is divisible by 13 and by 16 whose square root is greater than 120. Use a loop in the program. The loop should start from 1 and stop when the number is found. The program prints the message “The required number is:” and then prints the number.