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A student takes the tangent of both sides of… · Answer | StemPy Lab
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A student takes the tangent of both sides of tan⁻¹x + tan⁻¹5x = π/4 and gets 5x² + 6x - 1 = 0, which has two real roots. How many of those roots satisfy the original equation?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
A student takes the tangent of both sides of
tan
−
1
x
+
tan
−
1
5
x
=
π
4
\tan^{-1}x + \tan^{-1}5x = \dfrac{\pi}{4}
tan
−
1
x
+
tan
−
1
5
x
=
4
π
and gets
5
x
2
+
6
x
−
1
=
0
5x^2 + 6x - 1 = 0
5
x
2
+
6
x
−
1
=
0
, which has two real roots. How many of those roots satisfy the original equation?
0
0
0
1
1
1
2
2
2
3
3
3
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The expression sin⁻¹x + sin⁻¹(x - 1) is used in a formula. For which set of real numbers x is it defined? →
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