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The reading x = -1/3 goes into cos⁻¹(1… · Answer | StemPy Lab
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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?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
The reading
x
=
−
1
3
x = -\dfrac{1}{3}
x
=
−
3
1
goes into
cos
−
1
1
−
x
2
1
+
x
2
\cos^{-1}\dfrac{1 - x^2}{1 + x^2}
cos
−
1
1
+
x
2
1
−
x
2
, using the principal value. Which expression gives its value?
2
tan
−
1
1
3
2\tan^{-1}\dfrac{1}{3}
2
tan
−
1
3
1
−
2
tan
−
1
1
3
-2\tan^{-1}\dfrac{1}{3}
−
2
tan
−
1
3
1
tan
−
1
1
3
\tan^{-1}\dfrac{1}{3}
tan
−
1
3
1
π
−
2
tan
−
1
1
3
\pi - 2\tan^{-1}\dfrac{1}{3}
π
−
2
tan
−
1
3
1
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← A slope x = 3/4 is fed to the expression tan⁻¹(√(1 + x²) - 1)/x, with the principal value. Which angle does it return?
For which numbers x in [-1, 1] is sin⁻¹(3x - 4x³) = 3 sin⁻¹x true? →
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