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Mathematics
Mathematics
Problem
Find value of
x
x
x
if
cos
−
1
(
−
x
)
+
tan
−
1
(
−
x
)
−
2
sin
−
1
(
x
)
+
sec
−
1
(
−
1
x
)
=
π
4
\cos^{-1}(-x) + \tan^{-1}(-x) - 2\sin^{-1}(x) + \sec^{-1}\left(-\frac{1}{x}\right) = \frac{\pi}{4}
cos
−
1
(
−
x
)
+
tan
−
1
(
−
x
)
−
2
sin
−
1
(
x
)
+
sec
−
1
(
−
x
1
)
=
4
π
for
∣
x
∣
≤
1
|x| \le 1
∣
x
∣
≤
1
.
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