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Byju's Answer
Standard XII
Mathematics
Evaluation of a Determinant
If 2 sin2θ ...
Question
If
2
sin
2
θ
=
3
cos
θ
, where
0
≤
θ
≤
2
π
,
then
θ
=
A
π
6
,
7
π
6
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B
π
3
,
5
π
3
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C
π
3
,
7
π
3
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D
None of these
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Solution
The correct option is
A
π
3
,
5
π
3
Given:
2
sin
2
θ
=
3
cos
θ
⇒
2
(
1
−
cos
2
θ
)
=
3
cos
θ
⇒
2
cos
2
θ
+
3
cos
θ
−
2
=
0
⇒
2
cos
2
θ
+
4
cos
θ
−
cos
θ
−
2
=
0
⇒
(
2
cos
θ
−
1
)
(
cos
θ
+
2
)
=
0
⇒
cos
θ
=
1
2
and
cos
θ
=
−
2
is not possible because
cos
θ
≥
−
1
⇒
cos
θ
=
1
2
⇒
θ
=
π
3
,
5
π
3
Suggest Corrections
0
Similar questions
Q.
If
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then solve the equation
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)
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)
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If -1+
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e
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