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MHTCET 2016 Math Solved Paper
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© examsnet.com
Question : 37
Total: 50
Principal solutions at the equation sin 2x + cos 2x = 0, where π < x < 2π are
7
π
9
,
11
π
8
9
π
8
,
13
π
8
11
π
8
,
15
π
8
15
π
8
,
19
π
8
Validate
Solution:
(c) The given equation is
sin
2
x
+
cos
2
x
=
0
⇒
sin
2
x
=
−
cos
2
x
⇒
tan
2
x
=
−
1
[∵ π < x < 2π ⇒ 2π < 2x < 4π]
⇒
2
x
=
2
π
+
3
π
4
,
2
π
+
(
3
π
2
+
π
4
)
⇒
2
x
=
11
π
8
,
15
π
4
⇒
x
=
11
π
8
,
15
π
8
© examsnet.com
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