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A model needs the number x with sin⁻¹x + 2… · Answer | StemPy Lab
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A model needs the number x with sin⁻¹x + 2 cos⁻¹x = 2π/3. Which value of x does the equation give?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
A model needs the number
x
x
x
with
sin
−
1
x
+
2
cos
−
1
x
=
2
π
3
\sin^{-1}x + 2\cos^{-1}x = \dfrac{2\pi}{3}
sin
−
1
x
+
2
cos
−
1
x
=
3
2
π
. Which value of
x
x
x
does the equation give?
1
3
\dfrac{1}{\sqrt{3}}
3
1
3
2
\dfrac{\sqrt{3}}{2}
2
3
1
2
\dfrac{1}{2}
2
1
1
2
\dfrac{1}{\sqrt{2}}
2
1
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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? →
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