1. T2.1 f To find Compound Functions
Got ID?
2-8-19
T2.1 f To find Compound Functions

2. * Find both degrees (2 dec. pl.) & radians (4 dec. pl.) for:
Opener:
Find both degrees (2 dec. pl.) & radians (4 dec. pl.) for:
tan Ө = 5.829
Ans: °
Ans:
Note: tan Ө = is the same thing as Tan , and you may see one or the other, depending on the textbook. *

3. Active Learning Assignment Questions?

4. Remember Positive and Negative Quadrants for Inverse Functions
LESSON:
Remember Positive and Negative Quadrants for Inverse Functions * I IV
III II
All positive in QI
(No negative inverse) in QIII
*(Reciprocals go together, too.) Ө Ө Ө
ratio
ratio
ratio

5. To find the value of a trig function, given an inverse.
Ex: Find both the approximate (4 dec pl) and exact value :
First, the approximate value can be found in your calculator. Put your calculator in degrees. =
Next, put it in radians. =
Why doesn’t it matter?
Now, for the exact value

6. Approximate calculator value: 1.5076
Exact Value: Remember, you are taking the tan of an angle, and the Sin-1 represents an angle. Which angle? An angle whose opposite is 5 and the hypotenuse is 6.
Why are we in the first quadrant? I IV
III II 5 6
How do we find the adjacent?

7. So, we found out that the approximate calculator value is
and the EXACT value is
What does that mean?
It means that they’re equal. Sooooooooooooooooooo?
We can put the EXACT value in the calculator and test to see if we were right by comparing it to our original value!
You can check to see if you’re right!!!!!!!!!!
Yeaaaaaaaa!!!!!

8. Find the approximate (4 dec. pl.) and the exact value of:
Approximate value:
0.8321
1. Use this to draw your triangle.
It’s in the fourth quadrant. Why?
2. Find the third side I IV
III II
3. We are now looking for cos Ө 3 -2 2

9. Find the approximate (4 dec pl) and the exact value of:
Approximate value: =
Exact value:
It’s in the second quadrant. Why? I IV
III II
4.1 -1

10. (Answers on the next page)
Active Learning Assignment:
Find the EXACT VALUE. (BUILD THE TRIANGLE IN THE CORRECT QUADRANT AND SHOW THE VALUES
(Answers on the next page)
TEST on T2.1a, T2.1c, T2.1d, T2.1e & T2.1f Tuesday, (3 x 5 card, only)
WOW: Don’t expect life to be fair, but you should be.

11. (Answers from the previous page.)