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Which of these statements is true for every… · Answer | StemPy Lab
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Which of these statements is true for every real number x, with no restriction on x?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
Which of these statements is true for every real number
x
x
x
, with no restriction on
x
x
x
?
tan
−
1
x
+
cot
−
1
x
=
π
2
\tan^{-1}x + \cot^{-1}x = \dfrac{\pi}{2}
tan
−
1
x
+
cot
−
1
x
=
2
π
tan
−
1
x
+
tan
−
1
1
x
=
π
2
\tan^{-1}x + \tan^{-1}\dfrac{1}{x} = \dfrac{\pi}{2}
tan
−
1
x
+
tan
−
1
x
1
=
2
π
sin
−
1
x
+
cos
−
1
x
=
π
2
\sin^{-1}x + \cos^{-1}x = \dfrac{\pi}{2}
sin
−
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
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← A table lists tan⁻¹1/x beside cot⁻¹x for several non-zero numbers x, with cot⁻¹ taking values in (0, π). In which rows do the two entries agree?
Combine tan⁻¹5 - tan⁻¹2 into one inverse tangent. Which expression is correct? →
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Trigonometry › Inverse Trigonometric Functions
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