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Pg. 346 Homework

Pg. 346 Homework. Pg. 346 #27 – 41 odd Pg. 352 #7 – 12 all Study Trig Info!! Next Quiz is Monday! #1 max = 4, a = 4 #2 max = 1, a = 1 #3 max = 15, a = 15 #4 max = 3, a = 3 #5 max = 5, a = 5 #6 max = 12, a = 12 #7 D: ARN; R [-1, 1], 2 π /3 #8 D: ARN; R [-1, 1], 2 π /7

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Pg. 346 Homework

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  1. Pg. 346 Homework • Pg. 346 #27 – 41 oddPg. 352 #7 – 12 allStudy Trig Info!! Next Quiz is Monday! • #1max = 4, a = 4 #2 max = 1, a = 1 • #3 max = 15, a = 15 #4 max = 3, a = 3 • #5 max = 5, a = 5 #6 max = 12, a = 12 • #7 D: ARN; R [-1, 1], 2π/3 #8 D: ARN; R [-1, 1], 2π/7 • #9 D: ARN; R [-4, 4], 2π/5 #10 D: ARN; R [-2, 2], 2π/9 • #11 D: ARN; R [-3, 3], π #12 D: ARN; R [-6, 6], 2π/9 • #13 D: ARN; R [-1, 1], 2π/3 #14 D: 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 cosx Amplitude Period Length One period length of y = sin bx or y = cosbx is State the period length:y = 4sin(6x)y = -3cos(0.25x) • The amplitude of f(x) = asinx 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)

  3. 6.3 Graphs of sin x and cosx Horizontal Shifts Symmetry of sin x and cosx Looking at the Unit Circle to help, think about the difference between the following: sin (-x) = -sin (x) cos (-x) = cos (x) • 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.

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

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

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