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Standard X
Mathematics
Question
If A =
60
∘
and B =
30
∘
then
cos (A + B) = cos A cos B - sin A sin B.
If above statement is true then write 1 and if false then write 0.
Open in App
Solution
Verified by Toppr
A
=
60
∘
and
B
=
30
∘
Now,
cos
(
A
+
B
)
=
cos
A
cos
B
−
sin
A
sin
B
L.H.S.:
cos
(
A
+
B
)
=
cos
(
60
0
+
30
0
)
=
cos
90
0
=
0
R.H,S
cos
A
cos
B
−
sin
A
sin
B
=
cos
60
0
cos
30
0
−
sin
60
0
sin
30
0
=
√
3
2
1
2
−
1
2
√
3
2
=
√
3
4
−
√
3
4
=
0
Hence,
L
.
H
.
S
=
R
.
H
.
S
The given statement is true.
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Similar Questions
Q1
If A =
60
∘
and B =
30
∘
then
cos (A + B) = cos A cos B - sin A sin B.
If above statement is true then write 1 and if false then write 0.
View Solution
Q2
cos (A - B) = cos A cos B + sin A sin B
If true then write 1 and if false then write 0
View Solution
Q3
sin (A + B) = sin A cos B + cos A sin B
If true then write 1 and if false then write 0.
View Solution
Q4
The value of
cos
2
30
0
−
sin
2
30
0
=
cos
60
o
If above statement is true then enter
1
and if false then write
0
.
View Solution
Q5
Given
A
=
60
0
and
B
=
30
0
, then
cos
(
A
+
B
)
=
cos
A
cos
B
−
sin
A
sin
B
.
If above statement is true enter
1
else
0.
View Solution