1. Pg. 323/361 Homework Pg. 362 #39 – 47 odd, 51, 52 Memorize Trig. Info #2QIV#4QIII#6QIII #8-250°#10470° #12338°, 698°, -382°, -742°#14210°, 570°, -510°, -870° #1611π/4, -5π/2#1829π/6, -19π/6 #20π/4, 9π/4, -15π/4, -23π/4#2267°, 157° #2478°, 168°#265π/12, 11π/12#28π/14, 4π/7 #3090°, π/2#32135°, 3π/4#340°, 0, 2π #36-120°, -2π/3#38-600°, -10π/3#40-1260°, -7π #42π/3#447π/6#4611π/6 #4859π/90#50249π/180#52810/π #1#2#38/7 #47/8#5#6 #7 #811/15#9#10 #11#12#1315/11

2. 6.5 Trig Functions of an Acute Angle Trig Functions The six trig functions of any angle 0° < Ɵ < 90° are defined as follows: Also, we know that from the basic three trig functions:

3. 6.5 Trig Functions of an Acute Angle Example: They hypotenuse and one leg of a triangle measure 12 and 7 respectively. Find the measure of angle Ɵ formed by these two sides. Let Ɵ be an acute angle such that sin Ɵ = 5/6. Find all the trig functions of Ɵ. One angle of a right triangle measures 38°, and the hypotenuse has length of 17. Find the measures of the remaining sides.

4. 6.5 Trig Functions of an Acute Angle Example: Find the values of the six trig functions at an angle Ɵ in standard form with point P(4, 7) on its terminal side. **Note** If an angle does not appear acute in the first quadrant, you can work in any of the four quadrants to make the angle acute!! Find the values of all six trig functions and the angle of measure of angle Ɵ, where P(-3, 4) is a point on the terminal side of Ɵ. Find all the values of all six trig functions for the quadrantal angles of:

5. 6.5 Trig Functions of an Acute Angle Determining Ɵ Given the following, find the measure of Ɵ in both degrees and radians.

6. 6.5 Trig Functions of an Acute Angle Proving. Can you prove that 65+2 = 75 – 3 How do you know this? Prove that: