Question

Find modulus and argument for z = 1 - sin a + i cos a, a belongs to(0,2π)​

Answer 1

Answer:

Z=1-cos a+isin a

=2sin^2(a/2)+2sin a/2.cos a/2

=2 sin a/2 (sin a/2+cos a/2)

Z=2sin a/2{ cos (pi/2-a/2)+isin(pi/2-a/2)}

This is the polar form Z=r(cos phi+sin phi)

where r is |Z| and phi is argument of Z.

hope it helps you:)

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