SOLUTION: Find the trigonometric form of the number. 6 + 6i z=____

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Question 1174057: Find the trigonometric form of the number.
6 + 6i
z=____
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

A%2BBi%22%22=%22%22sqrt%28A%5E2%2BB%5E2%29%28cos%28theta%29%2Bi%2Asin%28theta%29%5E%22%22%29

where tan%28theta%29%22%22=%22%22B%2FA

A = 6, B = 6

tan%28theta%29%22%22=%22%22B%2FA%22%22=%22%226%2F6%22%22=%22%221

theta%22%22=%22%22pi%2F4or45%5Eo

sqrt%28A%5E2%2BB%5E2%29%28cos%28theta%29%2Bi%2Asin%28theta%29%5E%22%22%29%22%22=%22%22

sqrt%286%5E2%2B6%5E2%29%22%22=%22%22

sqrt%2836%2B36%29%22%22=%22%22

sqrt%2872%29%22%22=%22%22

sqrt%2836%2A2%29%22%22=%22%22

6sqrt%282%29

Edwin