Find the quotient $\frac{z_1}{z_2}$ and express it in rectangular form.

$$z_1 = \sqrt{12}(\cos 350\degree + i \sin 350\degree) \text{ and } z_2 = \sqrt{3} (\cos 80\degree + i \sin 80\degree)$$

find the magnitude and direction angle of the given vector. $\textbf{u}=\langle{0,7}\rangle$

Let A, B, and C be the lengths of the three sides of a triangle with X, Y, and Z as the corresponding angles. Write a program using a TI calculator to solve the below given triangle.$\newline$ A = 12.7, B = 29.9, Z = 104.8$\degree$.

Find the angle (round to the nearest degree) between the pair of vectors: $\newline$ $\langle{2, - 4\rangle}$ and $\langle{4, - 1\rangle}$

Let A, B, and C be the lengths of the three sides of a triangle with $X, Y$, and $Z$ as the corresponding angles. Write a program using a TI calculator to solve the given triangle. $A=312, B=267, C=189$

Convert the point $(6,6\sqrt3)$, to exact polar coordinates. Assume that $0\le \theta < {2\pi}$.

Let A, B, and C be the lengths of the three sides of a triangle with $X, Y$, and $Z$ as the corresponding angles. Write a program using a TI calculator to solve the given triangle. $A=3412, B=2178, C=1576$

Express the complex number $\space \sqrt{5}-\sqrt{5}i\space$, in the polar form.

Let A, B, and C be the lengths of the three sides of a triangle with X, Y, and Z as the corresponding angles. Write a program using a TI calculator to solve the below given triangle.$\newline$ A = $\sqrt{33}$, B = $\sqrt{29}$, Z = 41.6$\degree$.

Let A, B, and C be the lengths of the three sides of a triangle with X, Y, and Z as the corresponding angles. Write a program using a TI calculator to solve the below given triangle.$\newline$ A = 137.2, B = 125.1, Y = 54$\degree$.

Let A, B, and C be the lengths of the three sides of a triangle with X, Y, and Z as the corresponding angles. Write a program using a TI calculator to solve the below given triangle.$\newline$ A = 31.6, C = 23.9, X = 42$\degree$.

Find the quotient $\frac{z_1}{z_2}$ and express it in rectangular form.

$$z_1 = 4(\cos 280\degree + i \sin 280\degree) \text{ and } z_2 = 4(\cos 55\degree + i \sin 55\degree)$$

Two sides and an angle are given below. Determine whether a triangle (or two) exist and, if so, solve the triangle.

$$b=100, c=116, \beta=12^{\circ}$$

Find the angle (round to the nearest degree) between the pair of vectors: $\newline$ $\langle{- 4, 3}\rangle$ and $\langle{ - 5, - 9}\rangle$