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4.3 Graphing Other Trig Functions. Graph of y = csc x. Reciprocal of sine Graph sine first csc x is und when sin x = 0 csc x = 1 when sin x = 1 csc x = 2 when sin x = ½ csc x = –1 when sin x = –1 csc x = –2 when sin x = –½. 1. –1. Amp is undefined Period = 2 π.
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Graph of y = cscx Reciprocal of sine Graph sine first cscx is und when sin x = 0 cscx = 1 when sin x = 1 cscx = 2 when sin x = ½ cscx = –1 when sin x = –1 cscx = –2 when sin x = –½ 1 –1 Amp is undefined Period = 2π You find sec x the same way!! Graph cosx first! Then take the reciprocal!
Ex 1) Graph Factor out b b c a d = 2 = = = 0 Check Period: Per = IL: Check a point:
Graph of y = tan x x y 1 –1 Period = π Amplitude = not defined
General Tangent Curve Diff from sin & cos!! middle point of graph Diff from sin & cos!!
Ex 2) Graph Factor out b b c a d = = = 2 = 0 Check Period: (middle) 2 –2 Per = IL: Check a point:
Ex 3) Graph Factor out b Graph tan first b c a d = 2 = = = 0 Check Period: (middle) Per = IL: cot x is reciprocal of tan x Check a point:
Homework #403 Pg 205 #5, 9, 17 – 19, 21 – 24 (no graph), 26 – 28, 30, 34 – 40, 43, 44 To find asymptotes without graphing set the argument equal to where the parent graph has asymptotes and solve
