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A slope x = 3/4 is fed to the expression… · Answer | StemPy Lab
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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?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
A slope
x
=
3
4
x = \dfrac{3}{4}
x
=
4
3
is fed to the expression
tan
−
1
1
+
x
2
−
1
x
\tan^{-1}\dfrac{\sqrt{1 + x^2} - 1}{x}
tan
−
1
x
1
+
x
2
−
1
, with the principal value. Which angle does it return?
tan
−
1
3
8
\tan^{-1}\dfrac{3}{8}
tan
−
1
8
3
tan
−
1
1
3
\tan^{-1}\dfrac{1}{3}
tan
−
1
3
1
tan
−
1
3
4
\tan^{-1}\dfrac{3}{4}
tan
−
1
4
3
tan
−
1
2
3
\tan^{-1}\dfrac{2}{3}
tan
−
1
3
2
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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?
The reading x = -1/3 goes into cos⁻¹(1 - x²)/(1 + x²), using the principal value. Which expression gives its value? →
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Trigonometry › Inverse Trigonometric Functions
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