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The conjugate of the complex number 10∠45° is

This question was previously asked in
VSSC ISRO Technical Assistant Electronics 14 July 2021 Official Paper
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  1. -10∠45°
  2. 10∠45°
  3. 10∠-45°
  4. 0.1∠45°

Answer (Detailed Solution Below)

Option 3 : 10∠-45°
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Detailed Solution

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Concept:

Conjugate of a complex number:

For any complex number z = x + iy  the conjugate z̅ is given by  z̅ = x - iy

We can expand the expression

A∠θ as Acosθ + jAsinθ ----(1)

Calculation: 

Given:

Z = 10∠45°

By using expression from equation (1)

Z  = 10cos45° + jsin45° 

Now the conjugate of above expression will be:

Z̅ = 10cos45° - jsin45° 

Z̅ = 10∠-45°

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