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Standard XII
Mathematics
Question
Calculate the value of the expression
4
(
sin
4
30
∘
+
cos
4
30
∘
)
−
3
(
cos
2
45
∘
−
sin
2
90
∘
)
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Solution
Verified by Toppr
4
(
sin
4
30
∘
+
cos
4
30
∘
)
−
3
(
cos
2
45
∘
−
sin
2
90
∘
)
=
4
(
(
1
2
)
4
+
(
√
3
2
)
4
)
−
3
(
(
1
√
2
)
2
−
(
1
)
2
)
=
4
(
1
16
+
9
16
)
−
3
(
1
2
−
1
)
=
4
(
10
16
)
+
3
2
=
5
2
+
3
2
=
4
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Similar Questions
Q1
Calculate the value of the expression
4
(
sin
4
30
∘
+
cos
4
30
∘
)
−
3
(
cos
2
45
∘
−
sin
2
90
∘
)
View Solution
Q2
The value of
4
(
sin
4
30
∘
+
cos
4
30
∘
)
−
3
(
cos
2
45
∘
+
sin
2
90
∘
)
is:
View Solution
Q3
Evaluate
4
(
sin
4
30
∘
+
cos
4
60
∘
−
3
(
cos
2
45
∘
−
sin
2
90
∘
)
View Solution
Q4
Evaluate each of the following :
4
(
s
i
n
4
30
∘
+
c
o
s
2
60
∘
)
−
3
(
c
o
s
2
45
∘
−
s
i
n
2
90
∘
)
−
s
i
n
2
60
∘
View Solution
Q5
The value of
4
(
sin
4
30
∘
+
c
o
s
4
60
∘
)
(
cos
2
45
∘
−
sin
2
90
∘
)
+
tan
4
45
∘
−
cot
2
45
∘
is
View Solution