3—Complex Algebra 823.45 Use Eq. ( 9 ) and look back at the development of Eq. (1.4) to find thesin−^1 andcos−^1 in terms of
logarithms.
3.46 Evaluate the integral
∫∞
−∞dxe−αx^2 cosβx. Ans:e−β^2 / 4 α√π/α3.47 Does the equationsinz= 0have any roots other than the real ones? How about the cosine? The tangent?
3.48 Compute (a)sin−^1 i. (b)cos−^1 i. (c)tan−^1 i. (d)sinh−^1 i.