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If
sin
−
1
(
5
x
)
+
sin
−
1
(
12
x
)
=
π
2
\sin^{-1}\left(\frac{5}{x}\right) + \sin^{-1}\left(\frac{12}{x}\right) = \frac{\pi}{2}
sin
−
1
(
x
5
)
+
sin
−
1
(
x
12
)
=
2
π
…
Mathematics
Problem
If
sin
−
1
(
5
x
)
+
sin
−
1
(
12
x
)
=
π
2
\sin^{-1}\left(\frac{5}{x}\right) + \sin^{-1}\left(\frac{12}{x}\right) = \frac{\pi}{2}
sin
−
1
(
x
5
)
+
sin
−
1
(
x
12
)
=
2
π
, then find
x
x
x
.
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