What does $arcsin(cos ((-pi)/3))$ equal?

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Answer 1 · 2016-02-11T19:22:27

$cos(-pi/3) = cos(pi/3)$ because cosinus is even

watch your trigonometric circle you get

$cos(pi/3) = 1/2$
you search a number $x$ such as

$arcsin(1/2) = x$

$1/2 = sin(x)$

watch your circle again you get

$x_1 = pi/6 + 2kpi$ where $k in ZZ$

$x_2 = pi-pi/6 + 2kpi$ where $k in ZZ$

What does arcsin(cos ((-pi)/3)) arcsin(cos ((-pi)/3)) equal?