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Byju's Answer
Standard X
Mathematics
Trigonometric Ratios
sin A + B = s...
Question
sin (A + B) = sin A cos B + cos A sin B
If true then write 1 and if false then write 0.
Open in App
Solution
A
=
60
∘
and
B
=
30
∘
Now,
sin
(
A
+
B
)
=
sin
A
cos
B
+
cos
A
sin
B
L.H.S:
sin
(
A
+
B
)
=
sin
(
60
0
+
30
0
)
=
sin
90
0
=
1
R.H.S:
sin
A
cos
B
+
cos
A
sin
B
=
sin
60
0
cos
30
0
+
cos
60
0
sin
30
0
=
(
√
3
2
)
(
√
3
2
)
+
(
1
2
)
(
1
2
)
=
3
4
+
1
4
=
1
Suggest Corrections
0
Similar questions
Q.
cos (A - B) = cos A cos B + sin A sin B
If true then write 1 and if false then write 0
Q.
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.
Q.
1
+
s
i
n
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A
+
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s
2
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s
i
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+
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o
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=
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if true then write 1 and if false then write 0
Q.
2
c
o
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2
A
−
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=
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−
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i
n
2
A
If true then write 1 and if false then write 0
Q.
s
i
n
60
∘
=
2
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i
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∘
c
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s
30
∘
If true then write 1 and if false then write 0.
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