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Standard XII
Mathematics
Question
K
=
c
o
s
3
A
−
2
c
o
s
4
A
s
i
n
3
A
+
2
s
i
n
4
A
, when A =
15
∘
,
K
=
1
−
√
2
1
+
√
6
write 1 for true and 0 for false
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Solution
Verified by Toppr
Given,
A
=
15
∘
Thus,
cos
3
A
−
2
cos
4
A
sin
3
A
+
2
sin
4
A
Put
A
=
15
∘
=
cos
45
−
2
cos
60
sin
45
+
2
sin
60
=
1
√
2
−
2
(
1
2
)
1
√
2
+
2
(
√
3
2
=
1
√
2
−
1
1
√
2
+
√
3
=
1
−
√
2
√
2
1
√
2
+
√
3
=
1
−
√
2
1
+
√
6
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Similar Questions
Q1
K
=
c
o
s
3
A
−
2
c
o
s
4
A
s
i
n
3
A
+
2
s
i
n
4
A
, when A =
15
∘
,
K
=
1
−
√
2
1
+
√
6
write 1 for true and 0 for false
View Solution
Q2
Choose the correct option for the following.
The value of
cos
3
A
−
2
cos
4
A
sin
3
A
+
2
sin
4
A
is
1
−
√
2
1
+
√
6
, when
A
=
15
0
.
View Solution
Q3
Evaluate:
cos
3
A
−
2
cos
4
A
sin
3
A
+
2
sin
4
A
, When
A
=
15
o
View Solution
Q4
If
A
=
30
0
;
cos
3
A
−
cos
3
A
cos
A
+
sin
3
A
+
sin
3
A
sin
A
=
3
If true enter 1 else 0
View Solution
Q5
Prove
sec
2
A
−
sin
2
A
−
2
sin
4
A
2
cos
4
A
−
cos
2
A
=
1
View Solution