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HCU MCA 2013 Paper
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© examsnet.com
Question : 75
Total: 75
The value of the expression
1
−
cos
2
x
1
+
sin
x
+
1
+
sin
x
cos
x
−
cos
x
1
−
sin
x
is equal to
0
cos x
sin x
1
Validate
Solution:
(c) Given expression is
E
=
1
−
cos
2
x
1
+
sin
x
+
1
+
sin
x
cos
x
−
cos
x
1
−
sin
x
=
1
+
1
+
sin
x
cos
x
−
(
cos
2
x
1
+
sin
x
+
cos
x
1
−
sin
x
)
=
1
+
(
1
+
sin
x
)
cos
x
−
cos
x
(
1
−
sin
2
x
)
[
cos
x
(
1
−
sin
x
)
+
(
1
+
sin
x
)
]
=
1
+
(
1
+
sin
x
)
cos
x
−
cos
x
cos
2
x
{
cos
x
−
sin
x
.
cos
x
+
1
+
sin
x
}
=
1
+
1
cos
x
{
1
+
sin
x
−
cos
x
+
sin
x
.
cos
x
−
1
−
sin
x
}
=
1
+
1
cos
x
{
sin
x
.
cos
x
−
cos
x
}
=
1
+
sin
x
−
1
=
sin
x
© examsnet.com
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