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4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot

4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot. Graphing csc and sec is done by graphing its reciprocal function first. v.s. = A = P = h.s. =. 3. 2. Graph y = 3 + 2 csc. + sin x. 5. 3. 1. x-axis. Draw vert. asy. Find the midpoint to locate y-axis.

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4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot

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  1. 4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot Graphing csc and sec is done by graphing its reciprocal function first.

  2. v.s. = A = P = h.s. = 3 2 Graph y = 3 + 2 csc + sin x 5 3 1 x-axis Draw vert. asy. Find the midpoint to locate y-axis.

  3. What is the range and domain of y? Range: Domain: To find the domain of csc x , set what comes after csc =

  4. v.s = 2 h.s. = y = 2 – 4 sec (4x - ) y = 2 – 4 sec 4(x - ) A = 4 P = 6 2 x-axis -2

  5. Range: To find the domain, set what comes after sec =

  6. y = - tan x y = tan x Range: 1 Domain: set whatever is after the tan = -1

  7. y = -3 tan 2x Plug in –1, 0 and 1 for k to find vertical asymptotes. v.a.’s at Range:

  8. y = cot x Range: Domain: set whatever is after the cot = Plug in -1, 0, and 1 for k to find the v.a.’s Period

  9. Extra Sinusoid

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