What is the exact value of sin^-1 (1/2)??

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Answer 1 · 2018-05-28T23:43:23

#sin^-1(1/2)=pi/6=30#

suppose:

#y=sin^-1(1/2)#

lets take #sin# to both sides

#siny=1/2#

#siny>0#

#siny# is positive in the first and second quadrants.

from Definition of #sin^-1x#

#-pi/2<=sin^-1x<=pi/2#

#sin^-1x# lies in the first and forth quadrants.

the most common quadrant is the first one.

#siny=1/2 rArr y=pi/6=30#

#y=sin^-1(1/2) rArr sin^-1(1/2)=pi/6=30#