Let U = C\ {x + iy € C: x ≥ 0 and y = sin x}, which is a simply connected region that does not contain 0. Let log: U → C be the holomorphic branch of complex logarithm such that log 1 = 0.
(a) What is the value of log i?
(b) What is the value of 51¹?
Write your answers either in standard form a + bi or in polar form reie U Re^10 (2 points)