用matlab解个方程,新手,y=sin(x-pi/2+a)/sin(a-asin(sqrt(y^2-1)*sin(a)-cos(a))),其中a是常量,
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用matlab2010无法根据上面式子解出用x和a表示的y:
>> solve('y=sin(x-pi/2+a)/sin(a-asin(sqrt(y^2-1)*sin(a)-cos(a)))','y')
Warning: Explicit solution could not be found.
> In solve at 81
ans =[ empty sym ]
但是,可以解出用y和a表示的x:
>> solve('y=sin(x-pi/2+a)/sin(a-asin(sqrt(y^2-1)*sin(a)-cos(a)))','x')
ans =
pi/2 - a + asin(y*sin(a + asin(cos(a) - sin(a)*(y^2 - 1)^(1/2))))
(3*pi)/2 - a - asin(y*sin(a + asin(cos(a) - sin(a)*(y^2 - 1)^(1/2))))
>> solve('y=sin(x-pi/2+a)/sin(a-asin(sqrt(y^2-1)*sin(a)-cos(a)))','y')
Warning: Explicit solution could not be found.
> In solve at 81
ans =[ empty sym ]
但是,可以解出用y和a表示的x:
>> solve('y=sin(x-pi/2+a)/sin(a-asin(sqrt(y^2-1)*sin(a)-cos(a)))','x')
ans =
pi/2 - a + asin(y*sin(a + asin(cos(a) - sin(a)*(y^2 - 1)^(1/2))))
(3*pi)/2 - a - asin(y*sin(a + asin(cos(a) - sin(a)*(y^2 - 1)^(1/2))))
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