SOLUTION: Hi, I am stuggling very much on these two questions on complex numbers. If you can help, it would be very much appreciated. Thank you! Directions: In these questions exact value

Question 396290: Hi, I am stuggling very much on these two questions on complex numbers. If you can help, it would be very much appreciated. Thank you!
Directions: In these questions exact values for θ are to be used and answers are to be expressed as a radical.
1. If z=10(cos225�+i*sin225�) in trigonometric form find z in standard form.
2. If z=6sqrt(3)(cos330�+i*sin330�) in trigonometric form find z in standard form.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I'm guessing that what you're really having
problems with is trig. Do you have a solid foundation
in trig? Can you easily convert cos 225 degrees to
an expression with radicals?
degrees, so you have a vector in
the 3rd quadrant where the cosine and sine are both negative

(1)

Multiply top and bottom by

------------------------------
Note also that

So the angle is in the 4th quadrant and makes
an angle of 30 with the positive real axis.
The cosine is positive and the sine is negative

You can finish as I did in (1)

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