Homework Soursesin cos1 12 sin1 squareroot32 Solutionsincos112 sin13 2 sin
sin (cos^-1 (1/2) - sin^-1 (squareroot3/2)) 
Solution
sin(cos-1(1/2) -sin-1(3 /2))
sin(a-b)=sin(a)cos(b) -cos(a)sin(b)
=sin(cos-1(1/2))cos(sin-1(3 /2)) -cos(cos-1(1/2) )sin(sin-1(3 /2))
=sin(sin-1(3 /2))cos(cos-1(1/2)) -cos(cos-1(1/2) )sin(sin-1(3 /2))
=(3 /2)(1/2) -(1/2)(3 /2)
=0
or
sin(cos-1(1/2) -sin-1(3 /2))
=sin((pi/3) -(pi/3))
=sin0
=0
