Solve - 1-i cos- 3 -isin- 3

1 icosπ3+isinπ3 =1 i12+i√(3)2 =1 i1+i√(3)2 =21 i1+i√(3) ...

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Differentiation of Inverse Trigonometric Functions

Solve : 1-i...

Question

Solve : $\frac{1 - i}{c o s \frac{π}{3} + i s i n \frac{π}{3}}$

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Solution

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Z = \frac{i - 1}{cos \frac{π}{3} + i sin \frac{π}{3}}

=

\frac{i - 1}{cos \frac{π}{3} + i sin \frac{π}{3}}

Write the complex number $z = \frac{i - 1}{c o s \frac{π}{3} + i s i n \frac{π}{3}}$ in the polar form.

z = \frac{i - 1}{cos \frac{π}{3} + i sin \frac{π}{3}}

If $x_{n}$ = cos( $\frac{π}{4^{n}}$ ) + i sin( $\frac{π}{4^{n}}$ ) then $x_{1} x_{2} x_{3} . . . . . . . . . \infty =$

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