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A student has to write cos⁻¹(-x) using only… · Answer | StemPy Lab
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A student has to write cos⁻¹(-x) using only cos⁻¹x. Which statement is true for every x in [-1, 1]?
Mathematics
Easy
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
Created by
StemPy Lab
A student has to write
cos
−
1
(
−
x
)
\cos^{-1}(-x)
cos
−
1
(
−
x
)
using only
cos
−
1
x
\cos^{-1}x
cos
−
1
x
. Which statement is true for every
x
x
x
in
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
?
cos
−
1
(
−
x
)
=
cos
−
1
x
−
π
\cos^{-1}(-x) = \cos^{-1}x - \pi
cos
−
1
(
−
x
)
=
cos
−
1
x
−
π
cos
−
1
(
−
x
)
=
π
2
−
cos
−
1
x
\cos^{-1}(-x) = \dfrac{\pi}{2} - \cos^{-1}x
cos
−
1
(
−
x
)
=
2
π
−
cos
−
1
x
cos
−
1
(
−
x
)
=
−
cos
−
1
x
\cos^{-1}(-x) = -\cos^{-1}x
cos
−
1
(
−
x
)
=
−
cos
−
1
x
cos
−
1
(
−
x
)
=
π
−
cos
−
1
x
\cos^{-1}(-x) = \pi - \cos^{-1}x
cos
−
1
(
−
x
)
=
π
−
cos
−
1
x
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