Prepared: Thu Jun 3 15:42:29 CDT 1999

Quiz VII

1) a) Plot the point P tex2html_wrap_inline48 .

If you feel comfortable with degrees, you can convert to degrees first.

displaymath50

The angle which is coterminal with tex2html_wrap_inline52 is tex2html_wrap_inline54 .

tex2html_wrap_inline54

b) Determine the rectangular coordinates of P tex2html_wrap_inline48 .

The rectangular coordinates of the point P are given by

eqnarray16

You can use a calculator to find the cos and sin values we are looking for, but this angle is one of the familiar angles. We can find its cos and sin easily.

tex2html_wrap_inline54

Recalling the sin and cos values of tex2html_wrap_inline58 we find

eqnarray23

2) Sketch the graph of

displaymath60

tex2html_wrap_inline54

3) Solve the following system of equations:

eqnarray35

I will use the substitution method to solve the equations. Solve x from the second equation:

displaymath64

Plug this back in the first equation:

displaymath66

Now solve for y:

displaymath70

Now use y in the expression for x:

displaymath76