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Combine tan⁻¹5 - tan⁻¹2 into one inverse… · Answer | StemPy Lab
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Combine tan⁻¹5 - tan⁻¹2 into one inverse tangent. Which expression is correct?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
Combine
tan
−
1
5
−
tan
−
1
2
\tan^{-1}5 - \tan^{-1}2
tan
−
1
5
−
tan
−
1
2
into one inverse tangent. Which expression is correct?
tan
−
1
3
11
\tan^{-1}\dfrac{3}{11}
tan
−
1
11
3
tan
−
1
7
11
\tan^{-1}\dfrac{7}{11}
tan
−
1
11
7
π
−
tan
−
1
3
11
\pi - \tan^{-1}\dfrac{3}{11}
π
−
tan
−
1
11
3
tan
−
1
(
−
1
3
)
\tan^{-1}\left(-\dfrac{1}{3}\right)
tan
−
1
(
−
3
1
)
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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? →
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