How Do You Find the General Solution of a Sinusoidal Function Algebraically?

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how do i find the general solution of a sinusoidal function using the algebric method??

y=2+5cos(3.14/10)(x-3)
 
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First, a function does not have a "solution". Equations have solutions but your equation already involves two variables. Do you mean "solve for x".

Second, I don't know what you mean by "the algebraic method". Algebra has many methods of solve equations. Also, since this involves x both inside and outside a transcendental function (cosine), there is no method for solving it exactly.
 

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