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Question

Mathematics Question on Trigonometric Identities

If i=√-1 then

Arg[(1+i)20251+i2022]=Arg\left[ \frac{(1+i)^{2025}}{1+i^{2022}} \right] =

A

π4\frac{-π}{4}

B

π4\frac{π}{4}

C

3π4\frac{3π}{4}

D

3π4\frac{-3π}{4}

Answer

π4\frac{-π}{4}

Explanation

Solution

The correct option is: (A): π4\frac{-π}{4}