Find the exact values of the following arcsin squareroot 32

Find the exact values of the following. arcsin (-squareroot 3/2) arccot (-3 squareroot e) arcsec (2 squareroot 3/3)

Solution

a)arcsin(-sqrt3 /2)

=pi+(pi/3) ,2pi-(pi/3)

=4pi/3 ,5pi/3

b)arccot(-sqrt3)

=pi-(pi/3), 2pi-(pi/3)

=2pi/3,5pi/3

c)arcsec(2sqrt3 /3)

=arcsec(2/sqrt3)

=pi/6 , 2pi-pi/6

=pi/6 ,11pi/6

 Find the exact values of the following. arcsin (-squareroot 3/2) arccot (-3 squareroot e) arcsec (2 squareroot 3/3)Solutiona)arcsin(-sqrt3 /2) =pi+(pi/3) ,2pi-

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