If z =1+3i, find the modulus and amplitude of z.
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Given : z=1+3i
To Find : Modulus
Solution:
z=1+3i
Modulus z = | z |
= √1² + 3²
= √1 + 9
= √10
Modulus of =1+3i = √10
amplitude of z = arg z = Tan⁻¹( 3/1)
=>amplitude of z = Tan⁻¹( 3)
=> Tan⁻¹( 3) = 71.565° or 1.249 rad
amplitude of 1+3i = 1.249 ( as its measured in radian )
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