The equation "sin (x) + cos (x) = 0" has only one solution set "\$x=frac3pi 4+pi n\$".

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Why it has not solution mix "\$x=frac7pi 4+pi n\$"? Although it satisfy the equation. The equation is equivalent to\$\$ an x=-1\$\$ since the two functions \$cos\$ & \$sin\$ don"t vanish together so we find\$\$xequivfrac3pi4mod pi\$\$

A solution phối is a set of points that satisfies a given equation. A given equation will have only one solution set. That phối can have many descriptions. \$frac 3pi4+npi\$ is one description of the solution mix for this equation. \$frac 7pi4+mpi\$ is another description of the same set. Note that\$\$frac7pi4 + npi = left(1 + frac34 ight)pi + npi = frac3pi4 + (n+1)pi,\$\$so you are naming the same mix of solutions but with a different indexing system. Thanks for contributing an answer lớn magdalenarybarikova.comematics Stack Exchange!

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