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ahoy hoy
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Homework Statement
If w=costheta + i sintheta and theta is between -pi and pi: Find theta if E O and A are on the same straight line. E is a point on diagram representing w(z3).
Homework Equations
The Attempt at a Solution
Ive found the following:
z1 (1+(sqrt3)i)
z2 (-2+(2sqrt3)i)
z3 (-3+(sqrt3)i)
so.. i substituted w and z3.
(costheta + i sintheta)(-3+(sqrt3)i) is equal to (-3costheta -(sqrt3)sintheta) + ((sqrt3)costheta - 3sintheta)i
How can i work with knowing that E O and A are on the same straight line?
I should be able to find theta if i can be directed from here...
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