SOLUTION: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (Round all numerical values to two decimal places.) [3(cos(2.8) +

Algebra ->  Trigonometry-basics -> SOLUTION: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (Round all numerical values to two decimal places.) [3(cos(2.8) +       Log On


   



Question 1174591: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (Round all numerical values to two decimal places.)

[3(cos(2.8) + i sin(2.8))]^5

Answer by mccravyedwin(405) About Me  (Show Source):
You can put this solution on YOUR website!
%283%28cos%282.8%29+%2B+i%2Asin%282.8%29%5E%22%22%29%5E%22%22%29%5E5%22%22=%22%223%5E5%28cos%282.8%2A5%29+%2B+i%2Asin%282.8%2A5%29%5E%22%22%29%5E%22%22%22%22=%22%22243%28cos%2814%29+%2B+i%2Asin%2814%29%5E%22%22%29%5E%22%22%22%22=%22%22
243%280.1367372182+%2B+i%2A0.9906073557%29%22%22=%22%2233.22714402%2B230.7175874i

Round to 33.23%2B230.72i

Edwin