Verified answer

1)Arctan(2x-3)= -π/4

tan(-π/4)=2x-3

-1 = 2x-3

2x=2

x=1

2) Arccos(x+1)= 7π/6

cos( 7π/6 ) = x+1

-sqrt(3)/2 = x+1

x= -1 - sqrt(3)/2

3. Arcsin((x-2))/((3))+Arccos(1/2)=arccos2

The right side is incorrect. arccos cannot take a value above 1.

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