1. Got ID?
T2.1c To Solve Other Trig Functions If One, or Other Information Is Given
Knowing what we know, can we find all six trig functions on a right triangle, given two small pieces of information? Of course we can!

2. Opener: Find the exact value for the following functions by drawing a triangle in the correct quadrant. I IV
III II

3. Active Learning Assignment Questions?
III II 3

4. What can we find? (As an EXACT value.)
LESSON: Suppose we know that the coordinates of the endpoints of an angle on a circle are (5,6)
What do we know?
x = 5, y = 6
What can we find? (As an EXACT value.) I IV
III II
(5,6)
r = 6 5
Do we need “+” or “–” ?

5. LESSON: Suppose we know that the coordinates of the endpoints of an angle on a circle are (5,6)
What do we know?
x = 5, y = 6
What can we find? (As an EXACT value.) I IV
III II
(5,6)
r =
Now, find the EXACT values: 6 ü 5 ü ü

6. What about a triangle in the circle
What about a triangle in the circle? What do we need to find to have x, y, and r? I IV
III II -7 12
(As an EXACT value.)
Find the EXACT values: ü ü ü

7. Each function is positive or negative in each quadrant.
+ y * I IV
III II
- x
+ x
- y

8. Suppose You are given one trig functions as an exact value
Suppose You are given one trig functions as an exact value. How can we find the other five?
Given: in QII. This means:
What do we need to find?
x! (As an EXACT value.) I IV
III II 4 9
Find the other five EXACT values: ü ü

9. Active Learning Assignment:
P 272: 17,19 Regardless of their instructions, FIND ALL 6 TRIG FUNCTIONS FOR EACH ONE.
FIND THE OTHER 5 TRIG FUNCTIONS FOR EACH ONE, ALSO.
WOW: Swing for the fence, shoot for the moon, and go after your goals!