Z=[1-cos(theta) - i sin(theta)] ,Thenfind angle of z
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We have
z
1
=
cosθ+isinθ
1
=cosθ−isinθ
∴z
n
=(cosθ+isinθ)
n
=cosnθ+isinnθ
and
z
n
1
=(cosθ−isinθ)
n
=cosnθ−isinnθ
Hence z
n
+
z
n
1
=2cosnθ and z
n
−
z
n
1
=2isinnθ
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