7-6 Inverse Trig Functions!!!!!

Sooo today im going to be doing my blog on inverse trig functions since that is the only thing new we learned this week.

there is four different steps to solving inverse trig functions in the section.

-the first step in solving inverse trig functions is to isolate the trig function.

-The second step is to take the inverse of the trig function-> (sin^-1)=arc sin (cos^-1)=arc cos

************an inverse finds an angle*********** ALWAYS!!!!!! ha

-The third step is to use either the trig chart or plug into your calculator to find the answer.

(your only going to use the positive value)!!!!

-The last step you use quadrants to find the right angle measure. you will determine if it is positive or negative by usuing the trig chart.

******there will be atleast TWO answers for each inverse functions********

- to move to quadrants**

q1 ->q2-- make negative and add 180 degrees

q1 ->q3-- add 180 degrees

q1 ->q4-- make negative and 360 degrees

Now that i have deeply explained in details to you how you mathematically solve this inverse trig function we will now proceed to a physical mathematical inverse equation :)

This will be an example.

cos^-1 (3/4)

1. as you can tell step one has already been completed.

2. this step is also already done.

3. 3/4 is not on the trig chart, so when you plug the problem into your calculator you get 41.410 degrees.

4. 41.410 degrees is quadrant 1 so that is going to be your first answer. When you turn that into degrees minutes and seconds you get 41 degrees 24 minutes and 36 seconds. Next you would move 41.410 degrees to the 4th quadrant, so you would turn the degree negative and add 360, so you would get 318.59, which would be 318 degrees 35 minutes and 24 seconds.

***your answers would then be, 41 degrees 24 minutes 36 seconds and 318 degrees 35 minutes 24 seconds.

and that is how you do inverse trig functions.

thanks for reading.

-Brad!