TAYLOR'S BLOG REVIEW

REVIEW TIME!!!

THIS IS A REVIEW ON PART 2 OF MY SECTION 7.1 NOTES!!

There are some angles that are called coterminal angles. Coterminal means that the degrees 'spins' around the angle in this usage.

If you are asked to find the positive or/and negative form of a coterminal angle for degrees you will use this formula.

degrees +/- 360 degrees

Yet, if you are asked to find the positive or/and negative form of a coterminal angle for radians you would use this formula.

rads +/- 2 PI

An example of these situations are as followed.

Find a positive coterminal angle of 13 degrees.

13 degrees + 360 degrees First, you will place 13 degrees into the equation and since we need it to be positive we will add 360 to it.

373 degrees This is the correct answer that you should have gotten after adding 360 to 13.

Find the negative coterninal angle of 32 degrees.

32 degrees - 360 degrees First place 32 into its correct place in the equation and since we need to find the negative coterminal angle we will subtract 360 from 32 instead of adding it.

-328 degrees This is the negative answer that you should have gotten.

Now lets find the positive coterminal angle for 8PI/10.


8PI/10 + 2PI First place the 8PI/10 in its correct location in the equation and since we need to find the positive coterminal angle you will add 2Pi.

8PI/10 + 20pi/10 Now convert the 2PI so that you can add correctly. Do this by multiplying 2 by 10 and placing a ten in the denominator.

28PI/10 After you do that you add the fractions together.

14PI/5 Then you reduce the fraction by dividing it by two.

Now lets find the negative coterminal angle of 2PI/8.



2PI/8 - 2PI First place 2Pi/8 in its proper location in the equation and since we are finding the negative coterminal angle you will subtract 2PI instead of adding it.

2PI/8 - 16PI/8 Than you will make 2PI into a fraction by placing it over 8 and multiplying it by 8.

-14PI/8 You will then subtract and get this answer.

-7PI/4 Then you will reduce the fraction by diving it by two and this is your answer.

This is the second part from my 7.1 notes.