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if a sin 45 b cosec 30 then the value of a 4 b 4 i
Question:
If a sin 45°= b cosec 30°, then the value of
a
4
b
4
\frac {a^4}{b^4}
b
4
a
4
is
AP POLYCET - 2024
AP POLYCET
Updated On:
Mar 28, 2025
1
2
8
2
3
2
6
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The Correct Option is
D
Solution and Explanation
The correct option is (D): 2
6
.
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Top Questions on Trigonometry
Let
S
=
{
x
:
cos
−
1
x
=
π
+
sin
−
1
x
+
sin
−
1
(
2
x
+
1
)
S = \{ x : \cos^{-1} x = \pi + \sin^{-1} x + \sin^{-1} (2x + 1) \
S
=
{
x
:
cos
−
1
x
=
π
+
sin
−
1
x
+
sin
−
1
(
2
x
+
1
)
. Then
∑
x
∈
S
(
2
x
−
1
)
2
is equal to:
\sum_{x \in S} (2x - 1)^2 \text{ is equal to:}
x
∈
S
∑
(
2
x
−
1
)
2
is equal to:
JEE Main - 2025
Mathematics
Trigonometry
View Solution
If
∑
r
=
1
13
1
sin
π
4
+
(
r
−
1
)
π
6
sin
π
4
+
π
6
=
a
3
+
b
,
a
,
b
∈
Z
,
t
h
e
n
a
2
+
b
2
i
s
e
q
u
a
l
t
o
:
\sum_{r=1}^{13} \frac{1}{\sin \frac{\pi}{4} + (r-1) \frac{\pi}{6}} \sin \frac{\pi}{4} + \frac{\pi}{6} = a \sqrt{3} + b, \quad a, b \in \mathbb{Z}, { then } a^2 + b^2 { is equal to:}
r
=
1
∑
13
sin
4
π
+
(
r
−
1
)
6
π
1
sin
4
π
+
6
π
=
a
3
+
b
,
a
,
b
∈
Z
,
t
h
e
n
a
2
+
b
2
i
se
q
u
a
lt
o
:
JEE Main - 2025
Mathematics
Trigonometry
View Solution
If
∑
r
=
1
13
1
sin
π
4
+
(
r
−
1
)
π
6
sin
π
4
+
π
6
=
a
3
+
b
,
a
,
b
∈
Z
,
t
h
e
n
a
2
+
b
2
i
s
e
q
u
a
l
t
o
:
\sum_{r=1}^{13} \frac{1}{\sin \frac{\pi}{4} + (r-1) \frac{\pi}{6}} \sin \frac{\pi}{4} + \frac{\pi}{6} = a \sqrt{3} + b, \quad a, b \in \mathbb{Z}, { then } a^2 + b^2 { is equal to:}
r
=
1
∑
13
sin
4
π
+
(
r
−
1
)
6
π
1
sin
4
π
+
6
π
=
a
3
+
b
,
a
,
b
∈
Z
,
t
h
e
n
a
2
+
b
2
i
se
q
u
a
lt
o
:
JEE Main - 2025
Mathematics
Trigonometry
View Solution
The value of
cos
(
π
6
+
cot
−
1
(
−
3
)
)
\cos \left( \frac{\pi}{6} + \cot^{-1}(-\sqrt{3}) \right)
cos
(
6
π
+
cot
−
1
(
−
3
)
)
is:
CBSE CLASS XII - 2025
Mathematics
Trigonometry
View Solution
If
sin
−
1
x
+
cos
−
1
y
=
3
π
10
\sin^{-1} x + \cos^{-1} y = \frac{3\pi}{10}
sin
−
1
x
+
cos
−
1
y
=
10
3
π
, then the value of
cos
−
1
x
+
sin
−
1
y
\cos^{-1} x + \sin^{-1} y
cos
−
1
x
+
sin
−
1
y
is:
MHT CET - 2024
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Trigonometry
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,
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