Solve {l}{t=0}{x=4cos(t)}{y=4sin(t)}{z=6t}{u=t}{text{Solvefor}vtext{where}}{v=u}

$$\left. \begin{array} { l } { t = 0 }\\ { x = 4 \cos(t) }\\ { y = 4 \sin(t) }\\ { z = 6 t }\\ { u = t }\\ { \text{Solve for } v \text{ where} } \\ { v = u } \end{array} \right.$$

Solve for t, x, y, z, u, v

$$v=0$$

Solution Steps

Consider the second equation. Insert the known values of variables into the equation.

$$x=4\cos(0)$$

Get the value of \cos(0) from trigonometric values table.

$$x=4\times 1$$

Multiply 4 and 1 to get 4.

$$x=4$$

Consider the third equation. Insert the known values of variables into the equation.

$$y=4\sin(0)$$

Get the value of \sin(0) from trigonometric values table.

$$y=4\times 0$$

Multiply 4 and 0 to get 0.

$$y=0$$

Consider the fourth equation. Insert the known values of variables into the equation.

$$z=6\times 0$$

Multiply 6 and 0 to get 0.

$$z=0$$

The system is now solved.

$$t=0 x=4 y=0 z=0 u=0 v=0$$