What is the value of #sin(3pi/2)#?

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Apr 15, 2015

Convert first #(3pi)/(2)# to degree measure to find out the location of the angle.
#(3pi)/ (2)= (3pi)/ (2)# x #(180)^o/(pi )# = #270^o#

#270^o# is located in the III Quadrant

Finding the reference angle = #270^o - 180^o = 90^o#

sin# (3pi)/(2)= 90^o = -1#

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