91Ó°ÊÓ

Solve each triangle. \(C=28.3^{\circ}, b=5.71\) inches, \(a=4.21\) inches

Find the cube roots of each complex number. Leave the answers in trigonometric form. Then graph each cube root as a vector in the complex plane. $$1$$

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. $$(-1,1)$$

For each plane curve, (a) graph the curve, and (b) find a rectangular equation for the curve. $$x=t^{3}+1, y=t^{3}-1 ; \text { for } t \text { in }(-\infty, \infty)$$

Find the cube roots of each complex number. Leave the answers in trigonometric form. Then graph each cube root as a vector in the complex plane. $$i$$

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. $$(1,1)$$

For each plane curve, (a) graph the curve, and (b) find a rectangular equation for the curve. $$x=2 t-1, y=t^{2}+2 ; \text { for } t \text { in }(-\infty, \infty)$$

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. $$(0,3)$$

Solve each triangle. \(C=45.6^{\circ}, b=8.94\) meters, \(a=7.23\) meters

Find the cube roots of each complex number. Leave the answers in trigonometric form. Then graph each cube root as a vector in the complex plane. $$8\left(\cos 60^{\circ}+i \sin 60^{\circ}\right)$$