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Standard X
Mathematics
Question
If
tan
θ
+
sin
θ
=
m
and
tan
θ
−
sin
θ
=
n
then
4
√
m
n
=
4
tan
θ
sin
θ
4
4
tan
θ
4
sin
θ
A
4
B
4
tan
θ
sin
θ
C
4
tan
θ
D
4
sin
θ
Open in App
Solution
Verified by Toppr
m
n
=
(
tan
θ
+
sin
θ
)
(
tan
θ
−
sin
θ
)
=
tan
2
θ
−
sin
2
θ
=
sin
2
θ
cos
2
θ
−
sin
2
θ
1
=
sin
2
θ
−
sin
2
θ
cos
2
θ
cos
2
θ
=
sin
2
θ
(
1
−
cos
2
θ
)
cos
2
θ
=
sin
4
θ
cos
2
θ
=
tan
2
θ
sin
2
θ
∴
4
√
m
n
=
4
tan
θ
sin
θ
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Similar Questions
Q1
If
tan
θ
+
sin
θ
=
m
and
tan
θ
−
sin
θ
=
n
then
4
√
m
n
=
View Solution
Q2
If
tan
θ
+
sin
θ
=
m
,
tan
θ
−
sin
θ
=
n
and
m
≠
n
, then show that
m
2
−
n
2
=
4
√
m
n
View Solution
Q3
If
tan
θ
+
sin
θ
=
m
and
tan
θ
−
sin
θ
=
n
then prove that
tan
2
θ
−
sin
2
θ
=
m
n
.
View Solution