SOLUTION: the complex number 4cos135 3isin135 can be written as re^rt in exponentional form find valuea of r and t

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Question 893563: the complex number 4cos135 3isin135 can be written as re^rt in exponentional form find valuea of r and t
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x=4%2A%28-%28sqrt%282%29%2F2%29%29%29
x=-2sqrt%282%29
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y=3%2A%28sqrt%282%29%2F2%29
y=%283%2F2%29sqrt%282%29
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r%5E2=x%5E2%2By%5E2
r%5E2=4%2A2%2B%289%2F4%29%2A2
r%5E2=8%2B9%2F2
r%5E2=16%2F2%2B9%2F2
r%5E2=25%2F2
r=5%2Fsqrt%282%29
r=%285%2F2%29sqrt%282%29
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tan%28theta%29=y%2Fx
tan%28theta%29=%283%2F2%29%2F%28-2%29
tan%28theta%29=-3%2F4
theta=2.498
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4cos%28135%29%2B3cos%28135%29i=%285%2F2%29sqrt%282%29e%5E%282.498t%29