Trigonometry

what is the trigonometric form of z=1+i?

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asked by Josh G.
1. great Youtube for your kind of question....
http://www.youtube.com/watch?v=-YouB5zuAI0

z = 1+i

r = √(1+1) = √2
tanØ = 1/1 = 1
Ø = 45°

1+i = √2(cos 45° + i sin45°)

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posted by Reiny
2. what is z= -2-2square root of 3i in trigonometric form.

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posted by Josh G.
3. z= -2 - 2√3

r = √(4 + 12) = √16 or 4

tan Ø = -2√3/-2 , Ø must be in III
Ø = 240°

-2 - 2√3 i = 4(cos 240° + i sin 240°)

checking:
4(cos 240° + i sin 240°)
= 4(-.5 - √3/2)
= -2 - 2√3

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posted by Reiny

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