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NIMCET 2015 Question Paper with solutions
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© examsnet.com
Question : 2
Total: 120
If 0 < x < π and cos x + sin x =
1
2
, then the value of tan x is :
4
−
√
7
3
4
+
√
7
3
1
+
√
7
4
1
−
√
7
4
None of the above
Validate
Solution:
We have, 0 < x < n and
cos
x
+
sin
x
=
1
2
⇒
(
cos
x
+
sin
x
)
2
=
1
4
⇒
1
+
sin
2
x
=
1
4
⇒
sin
2
x
=
−
3
4
⇒
2
tan
x
1
+
tan
2
x
=
−
3
4
⇒
3
tan
2
x
+
8
tan
x
+
3
=
0
tan
x
=
−
8
±
√
64
−
36
6
tan
x
=
−
8
±
2
√
7
6
=
−
4
±
√
7
3
tan
x
=
−
(
4
+
√
7
)
3
or
−
4
+
√
7
3
© examsnet.com
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