Question

In the diagram below, assume that all points are given in polar coordinates. Determine the rectangular coordinates for each point. Visually check your answers to ensure they make sense.(r,θ)=(6.9,0.7) corresponds to (x,y)=(r,θ)=(7.2,1.5) corresponds to (x,y)=(r,θ)=(8,3.4) corresponds to (x,y)= (r,θ)=(4.7,3π/2) corresponds to (x,y)=

Answer 1

`\begin{gathered} 1.\text{ (6.9,0.7)} \\ X=\text{ 6.9}\cos (0.7) \\ X=5.27 \\ Y=6.9\sin (0.7) \\ Y=4.44 \\ \text{RECTANGULAR POINT (5.27,4.44)} \\ \text{2. (7.2,1.5)} \\ X=7.2\cos (1.5) \\ X=0.50 \\ Y=7.2\sin (1.5) \\ Y=7.18 \\ \text{RECTANGULAR POINT (0.50,7.18)} \\ \text{3. (8,3.4)} \\ X=8\cos (3.4) \\ X=-7.73 \\ Y=8\sin (3.4) \\ Y=-2.04 \\ \text{RECTANGULAR POINT (-7.73,-2.04)} \\ 4.\text{ (4.7,}(3\pi)/(2)\text{)} \\ X=4.7\cos ((3\pi)/(2)) \\ X=0 \\ Y=4.7\sin ((3\pi)/(2)) \\ Y=-4.7 \\ \text{RECTANGULAR POINT (0,-4.7)} \end{gathered}`