A complex number z_1z 1 z, start subscript, 1, end subscript has a magnitude |z_1|=7∣z 1 ∣=7vertical bar, z, start subscript, 1, end subscript, vertical bar, equals, 7 and an angle \theta_1=270^{\circ}θ 1 =270 theta, start subscript, 1, en subscript, equals, 270, degrees. Express z_1z 1 z, start subscript, 1, end subscript in rectangular form, as z_1=a+biz 1 =a+biz, start subscript, 1, end subscript, equals, a, plus, b, i.

z1 = 0+7i.

Step-by-step explanation:

Given the complex number

|z1| = 7 and θ1 = 270°

We are to express z1 in rectangular form as;

z1 = a + bi

|z1| = √a²+b² = 7

a²+b² = 7²

a²+b² = 49

.also argument θ1 = tan^-1(b/a) = 270°

Apply tan to both sides

tan(tan^-1(b/a)) = tan270°

b/a = tan270°

b/a = ∞

Since b/a doesn't exist, this means that the denominator is zero i.e a = 0

Substitute a = 0 into a²+b² = 49 to get b as shown;

0²+b² = 49

b² = 49

b = ±√49

b = ±7

Substitute a= 0 and b = ±7 into the rectangular form of the complex number.

z1 = a+bi

z1 = 0+7i

Hence the value of z1 in its rectangular form is z1 = 0+7i.

z = 5.785 + 6.894i

Step-by-step explanation:

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you

other answer is correct. i had used the radius of the radius somehow. a website: