Question

In Problems 45 – 48, use a graphing utility to graph the curve defined by the given parametric equations.

$x=t\sin t,y=t\cos t,t>0$

Short answer

The graph is shown in the figure.

Step-by-step solution

Step 1. Given Information

The given parametric equations are

$x=t\sin t,y=t\cos t,t>0$

Step 2. Drawing Graph

Step 1. Enter the equation $x\left(t\right)=t\sin t,y\left(t\right)=t\cos t$with the graphic utility in the PARametric mode.

Step 2. Select the viewing window. The interval $t>0$, so we select the following square viewing window:

$$\begin{gathered} T_{min}=1,T_{max}=10,T_{step}=0.1 \\ {X}_{min}=-10,X_{max}=10,X_{scl}=1 \\ {Y}_{min}=-10,Y_{max}=10,Y_{scl}=1 \end{gathered}$$

Step 3. Finally select Graph