Arccos1-arcsin(-1/2)

Question

Arccos1-arcsin(-1/2)

Answer 1

[tex]\\\arccos1-\arcsin\left(-\frac12\right)=\arccos1+\arcsin\left(\frac12\right)=2\pi n+(-1)^n\cdot\frac\pi6+\pi n=\\=(-1)^n\cdot\frac\pi6+3\pi n,\;n\in\mathbb{Z}[\tex]

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