T2.1 f To find Compound Functions

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Presentation transcript:

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

* 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: 80.27° Ans: 1.4009 Note: tan Ө = 5.829 is the same thing as Tan-1 5.829, and you may see one or the other, depending on the textbook. *

Active Learning Assignment Questions?

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

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. = 1.5076 Next, put it in radians. = 1.5076 Why doesn’t it matter? Now, for the exact value

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?

So, we found out that the approximate calculator value is 1.5076 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!!!!!

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

Find the approximate (4 dec pl) and the exact value of: Approximate value: = -3.9762 Exact value: It’s in the second quadrant. Why? I IV III II 4.1 -1

(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, 2-27-17 (3 x 5 card, only) WOW: Don’t expect life to be fair, but you should be.

(Answers from the previous page.)