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#