91Ó°ÊÓ

Find the component form and magnitude of the vector v. $$\begin{array}{cc}\text{Initial Point} && \text{Terminal Point} \\ (-3,-5) && (5,1) \end{array}$$

Use the Law of sines to solve the triangle. Round your answers to two decimal places. \(B=15^{\circ} 30^{\prime}, \quad a=4.5, \quad b=6.8\)

Use the Law of cosines to solve the triangle. Round your answers to two decimal places. $$B=10^{\circ} 35^{\prime}, \quad a=40, \quad c=30$$

Trigonometric Form of a Complex Number Represent the complex number graphically. Then write the trigonometric form of the number. $$-7+4 i$$

Find the component form and magnitude of the vector v. $$\begin{array}{cc}\text{Initial Point} && \text{Terminal Point} \\ (-2,7) && (5,-17) \end{array}$$

Trigonometric Form of a Complex Number Represent the complex number graphically. Then write the trigonometric form of the number. $$3-i$$

Use the Law of sines to solve the triangle. Round your answers to two decimal places. \(B=2^{\circ} 45^{\prime}, \quad b=6.2, \quad c=5.8\)

Use the Law of cosines to solve the triangle. Round your answers to two decimal places. $$B=75^{\circ} 20^{\prime}, \quad a=6.2, \quad c=9.5$$

Use the Law of cosines to solve the triangle. Round your answers to two decimal places. $$B=125^{\circ} 40^{\prime}, \quad a=37, \quad c=37$$

Find the component form and magnitude of the vector v. $$\begin{array}{cc}\text{Initial Point} && \text{Terminal Point} \\ (1,3) && (-8,-9) \end{array}$$