Pg. 346/352 Homework• Pg. 352 #13 – 22, 45, 46

Study for trig memorization quiz. Hand draw graphs of the six trig functions and include domain, range, period, and asymptotes.|Test on Thursday, March 1st!

• #27 x = 0.52, 2.62 #29 x = 0.93, 2.21• #31 x = 0.93, 5.36 #33 x = 0.60, 2.54• #35 x = 0.79, 3.93 #37 x = 1.70, 3.14, 4.60• #39 0 ≤ x ≤ 0.64, 2.50 ≤ x ≤ 6.28• #41 0 ≤ x ≤ 2.28, 4.03 ≤ x ≤ 6.28• #7 period = π/2 #8 period = π/3• #9 period = π #10 period = 4π• #11 period = 2π/3 #12 period = 2π

6.3 Graphs of sin x and cos x

Amplitude and Period Length• State the amplitude and

Period Length:y = 8sin(3x)y = -3cos(0.25x)y = -½sin(2.5x) + 1

Graph one Period Length:• y = -4sin(4x)

y = cos(0.5x) – 1

6.4 Graphs of the Other Trig Functions

Graphing tan x • What are the values to

“worry about” with tan x?• Graph tan x.

Graphing cot x • What are the values to

“worry about” with cot x?• Graph cot x.• What is the period length?

6.4 Graphs of the Other Trig Functions

Graph of sec x and csc x• Since sin x and cos x are

periodic functions, it makes sense that their reciprocal identities would be as well.

• When either function heads towards zero, their reciprocal heads towards an infinity.

• Otherwise the reciprocal function takes on the reciprocal value.

• Graph csc x.

6.4 Graphs of the Other Trig Functions

• Graph sec x. • What are the domain and range for each function?

• What is the period length for each function?

6.4 Graphs of the Other Trig Functions

Period Length for “Other” trigs

• For y = tan bx or y = cot bxperiod =

• For y = sec bx or y = csc bxperiod =

Examples:• Find all solutions for the

following:csc x = -1.6

tan x = 2.5

b

2

b