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Byju's Answer
Standard XII
Mathematics
Properties with Negative X
Let S = sec²θ...
Question
Let S = sec²θsec²Φ + 4sec²θcosec²Φ + 9cosec²θ where θ, Φ ε (0,π/2). Find the minimum value of S and the value of θ and Φ for which it is minimum
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Similar questions
Q.
Let
θ
,
φ
ϵ
0
,
2
π
be such that
2
c
o
s
θ
1
−
s
i
n
φ
=
s
i
n
2
θ
(
t
a
n
θ
2
+
c
o
t
θ
2
)
c
o
s
φ
−
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t
a
n
2
π
−
θ
>
0
and
−
1
<
s
i
n
θ
<
−
√
3
2
Then
φ
cannot satisfy
Q.
If
θ
−
ϕ
=
π
/
2
, then show that
[
cos
2
θ
cos
θ
sin
θ
cos
θ
sin
θ
sin
2
θ
]
[
cos
2
φ
cos
φ
sin
φ
cos
φ
sin
φ
sin
2
φ
]
=
0
Q.
If
sin
(
30
∘
−
θ
)
=
cos
(
60
∘
+
Φ
)
then
Q.
The points of intersection of the lines
φ
r
=
cos
θ
+
cos
(
θ
−
α
) and
φ
r
=
cos
θ
+
cos
(
β
−
θ
) is
Note:
α
≠
β
Q.
If
15
!
=
2
α
⋅
3
β
⋅
5
γ
⋅
7
δ
⋅
11
θ
⋅
13
Φ
, then the value of expression
α
−
β
+
γ
−
δ
+
θ
−
Φ
is
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