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Babydoll
Babydoll asked in Science & MathematicsMathematics · 2 years ago

Please help me with my Trigonometry?

Compute the modulus and argument of each complex number.

a. -5

b. -5 + 5i

3 Answers

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  • ?
    Lv 7
    2 years ago
    Favorite Answer

    a) z = -5

    Modulus = |z| = |-5| = 5

    Argument = 180°

    b) z = -5+5i

    Modulus = √[-5^2+5^2] = √50

    = 5√2

    Argument = arctan (5/-5) = arctan (-1)

    = 135°

    Source(s): https://www.youtube.com/watch?v=IqxDtd3dSK0
  • Como
    Lv 7
    2 years ago

    :-

    a)

    - 5 = 5 /_180°

    b)

    - 5 + 5i = √50 / _135°

  • ?
    Lv 7
    2 years ago

    a. -5 = -5 + 0i. This equates to (-5,0) on an x,y graph. Mod(-5+0i) = 5 (the distance from (0,0) to (-5,0)) and Arg(-5+0i) is the angle from the positive x axis anticlockwise to the point, which is 180° (or π radians).

    b. -5 + 5i. Mod(-5+5i) = √((-5)²+5²) = 5√2. Arg(-5+5i) = 135° (or 3π/4 radians).

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