Question #ed5b1 Precalculus Complex Numbers in Trigonometric Form Complex Number Plane 1 Answer Ratnaker Mehta May 25, 2017 # 1/26+(5/26)i.# Explanation: Let, #z=i/(5+i).# # rArr z=i/(5+i)xx(5-i)/(5-i),# #=(5i-i^2)/(5^2-i^2),# #=(5i-(-1))/(25-(-1)),# #=(1+5i)/26,# # :. z=1/26+(5/26)i.# Answer link Related questions What is the complex number plane? Which vectors define the complex number plane? What is the modulus of a complex number? How do I graph the complex number #3+4i# in the complex plane? How do I graph the complex number #2-3i# in the complex plane? How do I graph the complex number #-4+2i# in the complex plane? How do I graph the number 3 in the complex number plane? How do I graph the number #4i# in the complex number plane? How do I use graphing in the complex plane to add #2+4i# and #5+3i#? How do I use graphing in the complex plane to subtract #3+4i# from #-2+2i#? See all questions in Complex Number Plane Impact of this question 1068 views around the world You can reuse this answer Creative Commons License