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Byju's Answer
Standard XII
Mathematics
Integrals of Mixed Powers of Sine and Cosine
If a > 0, b >...
Question
If a > 0, b > 0 and the minimum value of asin²θ + bcosec²θ is equal to maximum value of asin²θ + bcos²θ, then a/b is equal to _____.
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Similar questions
Q.
If
x
a
cos
θ
+
y
b
sin
θ
=
1
,
x
a
sin
θ
−
y
b
cos
θ
=
1
,
then eliminate
θ
Q.
In a triangle ABC, if
cot
A
+
cot
B
+
cot
C
=
cot
θ
, then prove that
sin
A
sin
B
sin
C
1
+
cos
A
cos
B
cos
C
=
tan
θ
and the possible value of
θ
is
30
o
.
Q.
If
x
=
a
s
i
n
θ
+
b
c
o
s
θ
,
y
=
a
c
o
s
θ
−
b
s
i
n
θ
,
then show that
(
a
x
+
a
y
)
2
+
(
b
x
−
a
y
)
2
=
(
a
2
+
b
2
)
2
.
Q.
Locus of centroid of the triangle whose vertices are
(
a
cos
θ
,
a
sin
θ
)
,
(
b
sin
θ
,
−
b
cos
θ
)
and
(
1
,
0
)
where
θ
is a parameter, is
Q.
The minimum value of
a
tan
2
x
+
b
cot
2
x
equals the maximum value of
a
sin
2
θ
+
b
cos
2
θ
where
a
>
b
>
0
, when
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