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

*print*Print*list*Cite

Expert Answers

justaguide | Certified Educator

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**