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A student has to simplify an expression that… · Answer | StemPy Lab
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A student has to simplify an expression that contains √(1 - x²) inside an inverse trigonometric function. Which substitution removes the root?
Mathematics
Easy
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
Created by
StemPy Lab
A student has to simplify an expression that contains
1
−
x
2
\sqrt{1 - x^2}
1
−
x
2
inside an inverse trigonometric function. Which substitution removes the root?
x
=
sin
t
x = \sin t
x
=
sin
t
, with
t
t
t
in
[
−
π
2
,
π
2
]
\left[-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right]
[
−
2
π
,
2
π
]
x
=
sec
t
x = \sec t
x
=
sec
t
, with
t
t
t
in
[
0
,
π
]
[0, \pi]
[
0
,
π
]
x
=
tan
t
x = \tan t
x
=
tan
t
, with
t
t
t
in
(
−
π
2
,
π
2
)
\left(-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right)
(
−
2
π
,
2
π
)
x
=
2
t
x = 2t
x
=
2
t
, with
t
t
t
in
[
0
,
π
]
[0, \pi]
[
0
,
π
]
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