(2) This question deals with complex numbers. (a) Find the quartic roots of 16 − i16√15, namely all the complex numbers z such that z4 = 16−i16√15. Note: You could use approximations of angles in this question.
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Step 1
To find the quartic roots of the complex number \( 16 - i16\sqrt{15} \), we will follow these steps: Show more…
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Find all complex fourth roots of 16. Give your answers in trigonometric form, with angles in degrees, and roots separated by commas. Find (4+i)^7 by first changing 4+i to trigonometric form (with θ in radians), rounding to 4 decimal places. r = θ = Give your answer in a+bi form, rounding to the nearest whole number. (4+i)^7
Madhur L.
need help with ii
Derek F.
(a) Use the formula on page 450 to find the roots of the complex number, (b) write each of the roots in standard form, and (c) represent each of the roots graphically. $$\text { Square roots of } 16\left(\cos 60^{\circ}+i \sin 60^{\circ}\right)$$
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Trigonometric Form of a Complex Number
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