The arccosine of sine of *x* is equal to (when *k* is integer number *k∈ℤ*):

arccos(sin *x*) = π/2 – arcsin(sin *x*)

= π/2 – (*x*+2*k*π)

= –*x* – 2*k*π + π/2

= –*x* + (0.5-2*k*)π

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The arccosine of sine of *x* is equal to (when *k* is integer number *k∈ℤ*):

arccos(sin *x*) = π/2 – arcsin(sin *x*)

= π/2 – (*x*+2*k*π)

= –*x* – 2*k*π + π/2

= –*x* + (0.5-2*k*)π

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