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A pilot's tool stores an angle α = sin⁻¹x for… · Answer | StemPy Lab
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A pilot's tool stores an angle α = sin⁻¹x for some number x in [-1, 1] and finds that α = π/7. What is cos⁻¹x for the same number x?
Mathematics
Easy
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
Created by
StemPy Lab
A pilot's tool stores an angle
α
=
sin
−
1
x
\alpha = \sin^{-1}x
α
=
sin
−
1
x
for some number
x
x
x
in
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
and finds that
α
=
π
7
\alpha = \dfrac{\pi}{7}
α
=
7
π
. What is
cos
−
1
x
\cos^{-1}x
cos
−
1
x
for the same number
x
x
x
?
9
π
14
\dfrac{9\pi}{14}
14
9
π
π
7
\dfrac{\pi}{7}
7
π
6
π
7
\dfrac{6\pi}{7}
7
6
π
5
π
14
\dfrac{5\pi}{14}
14
5
π
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← A right triangle has the angle y, and the ratio of its hypotenuse to the side next to y is 2/√3. If y is taken as a principal value of sec⁻¹, which angle is it?
A student has to write cos⁻¹(-x) using only cos⁻¹x. Which statement is true for every x in [-1, 1]? →
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