Question

Find the Amplitude of-1-i​

Answer 1

+1+I

is correct answer

be happy bro

bye

Answer 2

Answer:

Sarthaks eConnect

Question

Write the amplitude of 1/i

Answer · 1 vote

. Given, 1i1i Rationalise the denominator by multiply numerator and denominator by i 1×i1×i1×i1×i = ii2ii2= i−1i−1= -i = 0 - i The real part in the complex number 0– i is 0 and imaginary part is – 1 ∴ The amplitude is given by

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Brainly.in

Question

find modulus and amplitude of 1+i (step by step)

Answer · 16 votes

Answer:Modulus - $|Z|=\sqrt 2$Amplitude - $\theta=\frac{\pi}{4}$Step-by-step explanation:To find : The modulus and amplitude of 1+i ?Solution : If z=a+ib is any complex number such that a∈R, b∈R then the Modulus of complex number, |Z| is given by $|Z|=\sqrt{a^2+b^2}$Amplitude of the complex number, θ is given by, $\theta= \tan^{-1}(\frac{b}{a})$On comparing, a=1 and b=1$|Z|=\sqrt{a^2+b^2}=\sqrt{1^2+1^2}=\sqrt{2}$$\theta=\tan^{-1}(\frac{b}{a})=\tan^{-1}(\frac{1}{1})=\tan^{-1}\tan(\frac{\pi}{4})$$\theta=\frac{\pi}{4}$

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Toppr

Question

Find the modulus and the amplitude of the complex number 1 - i .

Answer · 25 votes

Let z = 1 - i .Now |z| = √(1^2 + ( - 1)^2) = √(2) .Since the point lies on the fourth quadrant then the amplitude of the complex number z is - tan ^-1 | -11 | = - pi4 .

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Toppr

Question

Find the amplitude of i(1 + i) .

Answer · 2 votes

Let z = i(1 + i) or, z = i - 1 or, z = - 1 + i .So it is clear that the point z lies on the second quadrant.Therefor the amplitude of the complex number represented by z is = pi - tan^-1 | 1-1 | = pi - tan^-11 = pi - pi4 = 3pi4 .

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Doubtnut

Question

Find the principal amplitude of (-1-i).

Answer · 10164 votes

Answer: `=-(3pi)/(4)`

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Doubtnut.app

Question

The modulus and amplitude of `(1 + i)/(1-i)` are

Answer · 10 votes

`sqrt2,pi//3` `1, pi//4` `-1, -pi//2` `1, pi//2` Solution:

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Doubtnut.app

Question

Find the principal amplitude of (-1-i).

Answer · 30164 votes

Answer: `=-(3pi)/(4)`

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Meritnation

Question

What is the amplitude of 1/i - Maths -

Answer · 12 votes

Consider the following complex number 1iRationalise the denomiantor Multiply numerator and denominator with i 1×ii×i=ii2 =i-1 since i2=-1 =-i =0-iThe real part in the complex number 0-i is 0And the imaginary part in the complex number 0-i is -1The amplitude is given by, tanθ=imaginary partreal part tanθ=-10 tanθ=-∞Thi