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For which numbers x in [-1, 1] is sin⁻¹(3x… · Answer | StemPy Lab
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For which numbers x in [-1, 1] is sin⁻¹(3x - 4x³) = 3 sin⁻¹x true?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
For which numbers
x
x
x
in
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
is
sin
−
1
(
3
x
−
4
x
3
)
=
3
sin
−
1
x
\sin^{-1}\left(3x - 4x^3\right) = 3\sin^{-1}x
sin
−
1
(
3
x
−
4
x
3
)
=
3
sin
−
1
x
true?
−
1
2
≤
x
≤
1
2
-\dfrac{1}{\sqrt{2}} \le x \le \dfrac{1}{\sqrt{2}}
−
2
1
≤
x
≤
2
1
0
≤
x
≤
1
2
0 \le x \le \dfrac{1}{2}
0
≤
x
≤
2
1
−
1
≤
x
≤
1
-1 \le x \le 1
−
1
≤
x
≤
1
−
1
2
≤
x
≤
1
2
-\dfrac{1}{2} \le x \le \dfrac{1}{2}
−
2
1
≤
x
≤
2
1
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← The reading x = -1/3 goes into cos⁻¹(1 - x²)/(1 + x²), using the principal value. Which expression gives its value?
A model needs the number x with sin⁻¹x + 2 cos⁻¹x = 2π/3. Which value of x does the equation give? →
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