91Ó°ÊÓ

Graph each pair of parametric equations for \(0 \leq t \leq 2 \pi .\) Describe any differences in the two graphs. (a) \(x=3 \cos t, \quad y=3 \sin t\) (b) \(x=3 \cos 2 t, \quad y=3 \sin 2 t\)

Plot the point whose rectangular coondinates are given. Then determine nwo pairs of polar coondinates for the point with \(0^{\circ} \leq \theta<360^{\circ} .\) Do not use a calculator. $$\left(\frac{\sqrt{3}}{2}, \frac{3}{2}\right)$$

Solve each triangle. \(a=42.9\) meters, \(b=37.6\) meters, \(c=62.7\) meters

Find the modulus \(r\) of the number. Do not use a calculator. $$6+8 i$$

Given vectors u and v, find (a) \(2 u\) (b) \(2 u+3 v\) (c) \(v-3 u\) Do not use a calculator. $$\mathbf{u}=\langle- 1,2\rangle, \mathbf{v}=\langle 3,0\rangle$$

Solve triangle. \(C=74.08^{\circ}, B=69.38^{\circ}, c=45.38\) meters

Plot the point whose rectangular coondinates are given. Then determine nwo pairs of polar coondinates for the point with \(0^{\circ} \leq \theta<360^{\circ} .\) Do not use a calculator. $$\left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$$

Solve triangle. \(A=87.2^{\circ}, b=75.9\) yards, \(C=74.3^{\circ}\)

Given vectors u and v, find (a) \(2 u\) (b) \(2 u+3 v\) (c) \(v-3 u\) Do not use a calculator. $$\mathbf{u}=\langle- 2,-1\rangle, \mathbf{v}=\langle- 3,2\rangle$$

Graph each pair of parametric equations for \(0 \leq t \leq 2 \pi .\) Describe any differences in the two graphs. (a) \(x=2 \cos t, \quad y=2 \sin t\) (b) \(x=2 \cos t, \quad y=-2 \sin t\)