Question #2815c

1 Answer
HCH
Jul 19, 2017

#x=30° or 150°#
#x=pi/6 or (5pi)/6#

Explanation:

# cos(pi*sinx)=0#
#cos(pi/2)=cos((3pi)/2)=0#

Compare:

#pi*sinx=pi/2=(3pi)/2#
#sinx=1/2=3/2#

#sinx=3/2# is rejected since the maximum amplitude of #sinx# is 1.

#:. sinx=1/2#
#x=30° or 150°#

#Cos x#
graph{cos x [-10, 10, -5, 5]}
#sinx#
graph{sinx [-10, 10, -5, 5]}

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