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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

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