Got ID? 2-14-18 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.

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Presentation transcript:

Got ID? 2-14-18 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!

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

Active Learning Assignment Questions? III II 3

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 “–” ?

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

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

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

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

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!