Taylor's 11th (I think) Blog

These are half of my notes on Chapter 11.1.

We will be learning how to convert polar to rectangular.

Here are the formulas.

x= r x costheta y=r x sintheta

polar is in (r,theta) form and rectangular is in (x,y) form.


Now let's work on some problems.

Convert (5, 45 degrees) to rectangular.

x= 5 x cos 45 degrees y= 5 x sin 45 degrees First, write out your problem so that it will match the formula that I gave you.

x=5 x square root of 2/2 y=5 x square root of 2/2 Then if you can or want to simply use your trig chart for the sin and cos.

x= 3.536 y= 3.536 Finally you just need to multiply and you get this as your answer after you round to the third space after the decimal.

So (3.536, 3.536) is your answer for this question.


Let's do one more example.

Convert (8, 60 degrees) to rectangular.

x= 8 x cos 60 degrees y= 8 x sin 60 degrees First, write out your problem so that it will match the formula that I gave you.

x=8 x 1/2 y=8 x square root of 3/2 Then if you can or want to simply use your trig chart for the sin and cos.

x= 4 y= 6.928 Finally you just need to multiply and you get this as your answer after you round to the third space after the decimal for the y.

So (4, 6.928) is your answer for this question.

That is half of my notes from Chapter 11.1.

SO UNTIL NEXT TIME JA NE!!!!! (Japanese for goodbye.)