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Byju's Answer
Standard XIII
Mathematics
Trigonometric Ratios of Common Angles
The value of ...
Question
The value of the expression
(
1
+
tan
π
6
)
(
1
−
cot
π
6
)
(
1
+
cos
π
3
)
(
1
−
sec
π
3
)
is
A
4
3
√
3
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B
√
3
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C
4
√
3
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D
3
√
3
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Solution
The correct option is
A
4
3
√
3
k
=
(
1
+
tan
π
6
)
(
1
−
cot
π
6
)
(
1
+
cos
π
3
)
(
1
−
sec
π
3
)
=
(
1
+
1
√
3
)
(
1
−
√
3
)
(
1
+
1
2
)
(
1
−
2
)
=
(
√
3
+
1
√
3
)
(
√
3
−
1
)
3
2
=
4
3
√
3
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0
Similar questions
Q.
If
(
1
+
x
−
2
x
2
)
20
=
a
0
+
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x
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⋯
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40
x
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and the value of
a
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a
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a
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Q.
Find the coefficient of
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Q.
If the sum of coefficients in the expansion of
(
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−
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n
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, then
Q.
The ratio between
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+
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α
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+
cos
α
sin
2
α
)
2
in that order is
Q.
L
e
t
f
(
x
)
=
⎧
⎪ ⎪
⎨
⎪ ⎪
⎩
(
1
+
|
s
i
n
x
|
)
a
|
s
i
n
x
|
,
−
x
6
<
x
<
0
b
,
x
=
0
e
t
a
n
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x
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t
a
n
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