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

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

Feb 20, 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)... Show More
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Dana Herzog

Feb 20, 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)... Show More
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Dana Herzog

Feb 20, 2025

4(cos 270° + i sin 270°)Step-by-step explanation:... Show More
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D
Dana Herzog

Feb 20, 2025

Recall the values of the trigonometric functions at the required angles:So, the number -4 can be thought of as... Show More
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D
Dana Herzog

Feb 20, 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:... Show More
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D
Dana Herzog

Feb 20, 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))... Show More
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