Kenneth S. answered • 06/02/17
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d, because the magnitude is 6 and the angle is pi/2 (90deg) which aims you along the Imaginary (vertical) axis in the Argand plane where complex numbers are represented.
Arturo O.
Elle,
In general, when given a complex number
z = x + iy,
the polar form is
z = reiφ
where
r = √(x2 + y2) [always positive]
φ = tan-1(y/x) [Be careful with your selection of the quadrant for φ!]
But if x = 0 (as in your posted problem), then
z = yeiπ/2
This is true because the polar representation of i is
i = eiπ/2 = cos(π/2) + i sin(π/2) = 0 + i(1) = i
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06/02/17
DAVID A.
If an ant is 100 feet away from a tree growing straight up, and the ant has to look up at an angle of 68 degrees to see the top of the tree, how tall is the tree? Select the closest answer.
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08/14/21
Elle G.
06/02/17