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UNIT 7  :  TRIGONOMETRIC FUNCTIONS

LESSON 4 :  GRAPHS OF THE TRIGONOMETRIC FUNCTIONS

The Basic Graphs: y = sin x;  y = cos x;  y = tan x:

 x (radians) 0 x (degrees) -360 -330 -300 -270 -240 -210 -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180 210 240 270 300 330 360 sin x (exact) 0 1 0 -1 0 1 0 -1 0 sin x (approx.) 0 0.5 0.87 1 0.87 0.5 0 -0.5 -0.87 -1 -0.87 -0.5 0 0.5 0.87 1 0.87 0.5 0 -0.5 -0.87 -1 -0.87 -0.5 0

 x (radians) 0 x (degrees) -360 -330 -300 -270 -240 -210 -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180 210 240 270 300 330 360 cos x (exact) 1 0 -1 0 1 0 -1 0 1 cos x (approx.) 1 0.87 0.5 0 -0.5 -0.87 -1 -0.87 -0.5 0 0.5 0.87 1 0.5 0.87 1 -0.5 -0.87 -1 -0.87 -0.5 0 0.5 0.87 1

 x (radians) 0 x (degrees) -180 -150 -145 -120 -100 -90 - 80 -60 -45 -30 0 30 45 60 80 90 100 120 135 150 180 tan x (exact) 0 1 -1 0 1 -1 0 tan x (approx.) 0 0.58 1 1.73 5.67 -5.67 -1.73 -1 -0.58 0 0.58 1 1.73 5.67 -5.67 -1.73 -1 -0.58 0

LESSON 3b :  GRAPHS OF RECIPROCAL TRIGONOMETRIC FUNCTIONS:

 x (radians) 0 x (degrees) -360 -330 -300 -270 -240 -210 -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180 210 240 270 300 330 360 csc x (exact) 2 1 2 -2 -1 -2 2 1 2 -2 -1 -2 csc x (approx.) 2 1.15 1 1.15 2 -2 -1.15 -1 -1.15 -2 2 1.15 1 1.15 2 -2 -1.15 -1 -1.15 -2

 x (radians) 0 x (degrees) -360 -330 -300 -270 -240 -210 -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180 210 240 270 300 330 360 sec x (exact) 1 2 -2 -1 -2 2 1 2 -2 -1 -2 2 1 sec x (approx.) 1 1.15 2 -2 -1.15 -1 -1.15 -2 2 1.15 1 1.15 2 -2 -1.15 -1 -1.15 -2 0 2 1.15 1

 x (radians) 0 x (degrees) -180 -170 -150 -145 -120 -90 -60 -45 -30 -10 0 10 30 45 60 90 120 135 150 170 180 cot x (exact) und 1 0 -1 und 1 0 -1 und cot  x (approx.) und 5.67 1.73 1 1.73 0 -0.58 -1 -0.58 -5.67 0 5.67 1.73 1 0.58 0 -0.58 -1 -1.73 -5.67 und