Question

If Z =−1 + і be a complex number .Then Arg(Z) is equal to *

1.

2.3/4

3./4

4.0

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Answer 1

Step-by-step explanation:

Z= -1+I

Therefore modulus, r = |z| = √x^2 + y^2

= √(-1)^2 + 1^2

= √1 + 1

=√2

Now,

tan theta=|y/x|

=|1/-1| = 1

tan theta = tan π/4.............. Since

tanπ/4 = 1

therefore theta = π/4

Since, -1+I lies in second quadrant

Arg(Z)= π - theta

= π - π/4

= 4π-π/4

= 3π/4

OPTION-----2 ✓