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Anonymous

Nov 27, 2024

Express the complex number in trigonometric form. -4i my answer = 4(cos 180° + i sin 180°)

Please express the complex number -4i in trigonometric form. My answer is 4(cos 180° + i sin 180°). Is this correct?

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9 Answers

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Anonymous

Feb 17, 2025

Cos 180 = -1sin 180 = 0So you put in the answer that when you revert it into complex again, it would be -4.The correct answer would be 4(cos 270 + i sin 270)
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Anonymous

Feb 09, 2025

-4i =  4(cos 270 +i sin 270)Step-by-step explanation:We have a+ib = r(cosθ+isinθ)Here a = 0  and b = -4Substituting        -4i =  4(cos 270 +i sin 270)
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Anonymous

Feb 19, 2025

4(cos 270° + i sin 270°)Step-by-step explanation:
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A
Anonymous

Feb 21, 2025

Recall the values of the trigonometric functions at the required angles:So, the number -4 can be thought of as
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Anonymous

Feb 14, 2025

Ok this is a negative number. All negative numbers have argument Obviously, the module of this number is The general trigonometric form of a complex number is:We deduce the trigonometric for of -4:
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A
Anonymous

Feb 17, 2025

Since the sin term is imaginary and cos is real, you need an angle that makes cos=0 and sin -1. This is 270 degrees. So-4i=4(cos(270)+isin(270))
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Complex Numbers Trigonometric Form

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