SOLUTION: find the rectangular form of 4(cos(5/6 pi)+ i sin(5/6 pi))? find the trigonometric form of sqrt3 - i? i think the answer for the second question is 2(sqrt3/2 - i/2)= 2 cos(pi

Algebra ->  Trigonometry-basics -> SOLUTION: find the rectangular form of 4(cos(5/6 pi)+ i sin(5/6 pi))? find the trigonometric form of sqrt3 - i? i think the answer for the second question is 2(sqrt3/2 - i/2)= 2 cos(pi      Log On


   



Question 115269: find the rectangular form of 4(cos(5/6 pi)+ i sin(5/6 pi))?
find the trigonometric form of sqrt3 - i?
i think the answer for the second question is 2(sqrt3/2 - i/2)= 2 cos(pi/6)- sin(pi/6))
any help would be greatly appreciated

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the rectangular form of 4(cos(5/6 pi)+ i sin(5/6 pi))?
x = 4cos[(5/6)pi] = -3.464...
y = 4sin[(5/6)pi] = 2
rectangular form is -3.464+2i
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find the trigonometric form of sqrt3 - i?
r = sqrt((sqrt(3))^2 + 1^2)= 2
theta = tan^-1(-1/sqrt(3)) = 0.524 in radian measure
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trig form is 2cis(0.524...)
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Cheers,
Stan H.