5.6 Inverse Trigorematic Function,
ti
*
1
Τι
Is sinces Ŀ-l?
37
༢༩
Does
2
Sinces
function?
have
inverse
Restricted Sine function
Re ect
over
y=x
fex)=sin(x) This is
0: [불, 불] |-|
2
R:(!, 7]
2
博
f(x) = are sin(x) = sin "(x)
1
Natz: sin(x) = sincer
DE=!1}
R: (2, 2)
Facts: 1. urchinskiy + x = sincy), "1/2 sy≤1/2
ex.
2 sin(arcain (x))=x when lk xbl
3. urchin (sin(x)) = x when SXSE
a) aresine!).
24
b/c sin ( 2 ) = 1 and -1/2 4/1 5/2
스
6) Sin ( ) = = =
:
Du
4)
fl
,5.6 cont
c) sincfurzsin (32)) = to
یا ا عاملا ما
d) acci(sin ( 7 )| = 1/1, WC = = =
E
S
el arcain (sch (SA)\
= arcsin (√)
그렇
k
Note: Sit is not in domain
f) arcain (sin ( 2 ))
urchin (-1/2) = -11
འ
6) costare sin(?)]
g) cos (arccin (½))
(7)=
Colble: ½ is not a
Let Q = are sin(3) Need cos (8)
Ha(@)= 5 - <속
=
nice value
on
the unit unde
3
1
10
5²=18=252
cos Carcain (§)) = cas (A) = 252
:) Find
an
algebraiz expression for coscaresch(x)).
Q
Let f = arcain(x). Go sind=x -3/4DEE1
.
1
Ө
cos (archin(a)) = cord =
Χ
51-x²
√1-82
ti
*
1
Τι
Is sinces Ŀ-l?
37
༢༩
Does
2
Sinces
function?
have
inverse
Restricted Sine function
Re ect
over
y=x
fex)=sin(x) This is
0: [불, 불] |-|
2
R:(!, 7]
2
博
f(x) = are sin(x) = sin "(x)
1
Natz: sin(x) = sincer
DE=!1}
R: (2, 2)
Facts: 1. urchinskiy + x = sincy), "1/2 sy≤1/2
ex.
2 sin(arcain (x))=x when lk xbl
3. urchin (sin(x)) = x when SXSE
a) aresine!).
24
b/c sin ( 2 ) = 1 and -1/2 4/1 5/2
스
6) Sin ( ) = = =
:
Du
4)
fl
,5.6 cont
c) sincfurzsin (32)) = to
یا ا عاملا ما
d) acci(sin ( 7 )| = 1/1, WC = = =
E
S
el arcain (sch (SA)\
= arcsin (√)
그렇
k
Note: Sit is not in domain
f) arcain (sin ( 2 ))
urchin (-1/2) = -11
འ
6) costare sin(?)]
g) cos (arccin (½))
(7)=
Colble: ½ is not a
Let Q = are sin(3) Need cos (8)
Ha(@)= 5 - <속
=
nice value
on
the unit unde
3
1
10
5²=18=252
cos Carcain (§)) = cas (A) = 252
:) Find
an
algebraiz expression for coscaresch(x)).
Q
Let f = arcain(x). Go sind=x -3/4DEE1
.
1
Ө
cos (archin(a)) = cord =
Χ
51-x²
√1-82
