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Llibres Llibres 1 - 7 de 7 sobre The modulus of the quotient of two complex numbers is equal to the quotient of their....
" The modulus of the quotient of two complex numbers is equal to the quotient of their moduli. "
Plane and Spherical Trigonometry - Pągina 129
per James Morford Taylor - 1905 - 234 pągines
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Plane Trigonometry

James Morford Taylor - 1904 - 171 pągines
...cos пф + i sin пф = (cos ф + i sin 0)" = cos" 0 + i - cos"-1 0 sin 0 + i2 ^^- - 1 cos"-2 ф sin2 0 Substituting for i2, i3, • • • their values,...i sin ф has q, and only q, unequal qth roots. If n is any integer, then, by § 21, we have cos <f, + г sin ф = cos (2 nir + ф) + г sin (2 итг...
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Elementary Mathematical Analysis

John Wesley Young, Frank Millett Morgan - 1917 - 548 pągines
...02)] p2(cos202 + sin202) = Pi [cos (gi - 02) -f- * sin (0i - 0,)]. P2 Therefore, the absolute value of the quotient of two complex numbers is equal to the quotient of their absolute values, and the angle of the quotient is equal to the difference of their angles. EXAMPLE...
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A First Course in Higher Albegra

Helen Abbot Merrill - 1917 - 247 pągines
...of the moduli of a + bi and c + di. + (ad + be)2 = Vazcz+~lzd?~+~a?cP + 192. Theorem. The modulus of the quotient of two complex numbers is equal to the quotient of their moduli. Let the two numbers be a +bi and c + di. To prove ,, . ,, ,, f ac + bd . be— ad . • .,...
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A Course of Pure Mathematics Centenary Edition

G. H. Hardy - 2008 - 509 pągines
...z. We can now state the theorems for quotients which correspond to (2) and (3). (4) The modulus of the quotient of two complex numbers is equal to the quotient of their moduli. (5) The amplitude of the quotient of two complex numbers is either equal to the difference...
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Complex Analysis

...0) where z = rcisO and w = s cis <j> / 0. From the definition of ^, we observe that the modulus of the quotient of two complex numbers is equal to the quotient of their moduli, and arg (^H = arg z— arg w. From 1.2.2 and the definition of a quotient, we obtain the usual...
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G. H. Hardy

...z. We can now state the theorems for quotients which correspond to (2) and (3). (4) The modulus of the quotient of two complex numbers is equal to the quotient of then* moduli. (5) The amplitude of the quotient of two complex numbers is either equal to the difference...
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S.Chand’S Mathematics For Class XI

H.K. Dass & Rama Verma
...z2 = ...= za = z, we get (z") = (z)" • z, z, Property 9. I — = =• ie \Z2j Z2 The conjugate of quotient of two complex numbers is equal to the quotient of their conjugates. Proof: Let z, = a + ib and z2 = с + id, then rz, ] ( a+ib\ (a+ib c-id} = = x z2) \c+id)...
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