12 x1 t05 03 graphing inverse trig (2013)
TRANSCRIPT
Graphing Inverse Trig Functions
Graphing Inverse Trig Functions
3
sin5 e.g 1 xyi
Graphing Inverse Trig Functions
Domain:
3
sin5 e.g 1 xyi
13
1 x
33 x
Graphing Inverse Trig Functions
Domain:
Range:
3
sin5 e.g 1 xyi
13
1 x
252
y
33 x
25
25
y
Graphing Inverse Trig Functions
Domain:
Range:
3
sin5 e.g 1 xyi
13
1 x
252
y
y
x-3 3
25
25
33 x
25
25
y
Graphing Inverse Trig Functions
3sin5 1 xy Domain:
Range:
3
sin5 e.g 1 xyi
13
1 x
252
y
y
x-3 3
25
25
33 x
25
25
y
21 3tan xyii
21 3tan xyii
Domain:
3303 2
xx
21 3tan xyii
Domain:
Range:
3303 2
xx
0 0tan,3 1
yx
21 3tan xyii
Domain:
Range:
3303 2
xx
0 0tan,3 1
yx
0 0tan,3 1
yx
21 3tan xyii
Domain:
Range:
3303 2
xx
0 0tan,3 1
yx
0 0tan,3 1
yx
3
3tan,0 1
yx
21 3tan xyii
Domain:
Range:
3303 2
xx
0 0tan,3 1
yx
0 0tan,3 1
yx
3
3tan,0 1
yx
30
y
21 3tan xyii
Domain:
Range:
3303 2
xx
0 0tan,3 1
yx
y
x
3
0 0tan,3 1
yx
3
3tan,0 1
yx
30
y
3 3
21 3tan xyii
21 3tan xy
Domain:
Range:
3303 2
xx
0 0tan,3 1
yx
y
x
3
0 0tan,3 1
yx
3
3tan,0 1
yx
30
y
3 3
xyiii sinsin)( 1
xyiii sinsin)( 1
Domain:
all real x1sin1 x
xyiii sinsin)( 1
Domain:
all real x
Range:
1sin1 x
22
y
xyiii sinsin)( 1
Domain:
all real x
Range:
1sin1 x
22
yy
x
2
2
xyiii sinsin)( 1
xy sinsin 1
Domain:
all real x
Range:
1sin1 x
22
yy
x
2
2
xyiv 1sinsin)(
xyiv 1sinsin)(
Domain: 11 x
xyiv 1sinsin)(
Domain:
Range:
11 x
1 2
sin
1sinsin,1when 1
yx
xyiv 1sinsin)(
Domain:
Range:
11 x
1 2
sin
1sinsin,1when 1
yx
1 2
sin
1sinsin,1when 1
yx
xyiv 1sinsin)(
Domain:
Range:
11 x
1 2
sin
1sinsin,1when 1
yx
1 2
sin
1sinsin,1when 1
yx
0 0sin
0sinsin,0when 1
yx
11 y
xyiv 1sinsin)(
Domain:
Range:
11 x
1 2
sin
1sinsin,1when 1
yx
y
x
1
1-1-1
1 2
sin
1sinsin,1when 1
yx
0 0sin
0sinsin,0when 1
yx
11 y
xyiv 1sinsin)( xy 1sinsin Domain:
Range:
11 x
1 2
sin
1sinsin,1when 1
yx
y
x
1
1-1-1
1 2
sin
1sinsin,1when 1
yx
0 0sin
0sinsin,0when 1
yx
11 y
xyiv 1sinsin)( xy 1sinsin Domain:
Range:
11 x
1 2
sin
1sinsin,1when 1
yx
y
x
1
1-1-1
1 2
sin
1sinsin,1when 1
yx
0 0sin
0sinsin,0when 1
yx
11 y
Exercise 1C; 2 to 5ace,6a b i,iii, 9, 11 to 15