1. Pg. 346 Homework Pg. 346#27 – 41 odd Pg. 352 #7 – 12 all Study Trig Info!! Next Quiz is Monday! #1max = 4, a = 4#2max = 1, a = 1 #3max = 15, a = 15#4max = 3, a = 3 #5 max = 5, a = 5 #6max = 12, a = 12 #7 D: ARN; R [-1, 1], 2π/3#8D: ARN; R [-1, 1], 2π/7 #9 D: ARN; R [-4, 4], 2π/5 #10D: ARN; R [-2, 2], 2π/9 #11D: ARN; R [-3, 3], π #12D: ARN; R [-6, 6], 2π/9 #13D: ARN; R [-1, 1], 2π/3 #14D: ARN; R [1, 3], 2π #21[0, π] x [-2, 2]#22 [0, 4π] x [-2, 2] #23[0, 4π] x [-3, 3] #24 [0, 6π] x [-2, 2] #25[0, 10π] x [-4, 4] #26[0, 8π] x [-4, 4]

2. 6.3 Graphs of sin x and cos x Amplitude The amplitude of f(x) = asin x and f(x) = acos x is the maximum value of y, where a is any real number; amplitude = |a|. State the amplitude: y = 4sin(6x) y = -3cos(0.25x) Period Length One period length of y = sin bx or y = cos bx is State the period length: y = 4sin(6x) y = -3cos(0.25x)

3. 6.3 Graphs of sin x and cos x Horizontal Shifts Remember our cofunctions and why they were true? Well, they are true with graphing too! The cofunctions lead into shifts. If a value is inside with the x, it is a horizontal shift left or right opposite the sign. If it is outside the trig, it is up or down as the sign states. Symmetry of sin x and cos x Looking at the Unit Circle to help, think about the difference between the following: sin (-x) = -sin (x) cos (-x) = cos (x)

4. 6.3 Graphs of sin x and cos x Examples Graph one period of the following: y = 4sin x y = -3cos (2x) y = sin (0.5x) + 1 y = 2sin (x – 1) Solve for the following: sin x = 0.32 on 0 ≤ x < 2π cos x = -0.75 on 0 ≤ x < 2π sin x = -0.14 on 0 ≤ x < 2π cos x = 0.65 on 0 ≤ x < 2π

5. 6.4 Graphs of the Other Trig Functions Graphing tan x What are the values to “worry about” with tan x? What does a function do at a vertical asymptote? Graph tan x. Period Length of tan x How long does it take for tan x to take on all its possible values? π!!