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Question
Mathematics
Find the value of sin(40° + θ) cos(10° + θ) - cos(40° + θ) sin(10° + θ).
Q. Find the value of
s
in
(
4
0
∘
+
θ
)
cos
(
1
0
∘
+
θ
)
−
cos
(
4
0
∘
+
θ
)
s
in
(
1
0
∘
+
θ
)
.
2936
163
Trigonometric Functions
Report Error
A
1/2
47%
B
1/4
18%
C
1
20%
D
0
15%
Solution:
We have,
s
in
(
4
0
∘
+
θ
)
⋅
cos
(
1
0
∘
+
θ
)
−
cos
(
4
0
∘
+
θ
)
⋅
s
in
(
1
0
∘
+
θ
)
=
s
in
{
(
4
0
∘
+
θ
)
−
(
1
0
∘
+
θ
)
}
=
s
in
3
0
∘
=
2
1