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Question #39
Medium
•
SSC CGL 2024
•
Tier 1
•
Trigonometry
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If
sec
h
e
t
a
+
a
n
h
e
t
a
=
x
\sec heta + an heta = x
sec
h
e
t
a
+
anh
e
t
a
=
x
, then find
sin
h
e
t
a
\sin heta
sin
h
e
t
a
.
A
x
2
−
1
1
+
x
2
\frac{x^2-1}{1+x^2}
1
+
x
2
x
2
−
1
B
x
2
+
1
1
−
x
2
\frac{x^2+1}{1-x^2}
1
−
x
2
x
2
+
1
C
x
2
−
1
1
+
2
x
2
\frac{x^2-1}{1+2x^2}
1
+
2
x
2
x
2
−
1
D
1
−
x
2
1
+
x
2
\frac{1-x^2}{1+x^2}
1
+
x
2
1
−
x
2
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