Determine the exact value of b such that csc (6b + pi/8) = sec (2b - pi/8)

We have to determine the value of b so that cosec (6b +
pi/8) = sec (2b - pi/8)

cosec (6b + pi/8) = sec (2b -
pi/8)

=> 1/sin(6b + pi/8) = 1/cos(2b -
pi/8)

=> cos(2b - pi/8) = sin(6b +
pi/8)

cos x = sin (pi/2 -
x)

=> sin(pi/2 - 2b + pi/8) = sin(6b +
pi/8)

=> pi/2 - 2b + pi/8 = 6b +
pi/8

=> pi/2  =
8b

=> b =
pi/16

The value of b =
pi/16