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Byju's Answer
Standard XII
Physics
Introduction
Prove sin 3...
Question
Prove
sin
3
A
cos
A
+
cos
3
A
sin
A
=
2
cot
2
A
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Solution
s
i
n
3
A
c
o
s
A
+
c
o
s
3
A
s
i
n
A
=
2
c
o
t
2
A
=
s
i
n
3
A
⋅
s
i
n
A
+
c
o
s
3
A
⋅
c
o
s
A
c
o
s
a
s
i
n
A
⇒
2
c
o
s
(
2
A
)
s
i
n
2
A
=
2
c
o
t
2
A
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Similar questions
Q.
Prove that
S
i
n
3
A
+
c
o
s
3
A
s
i
n
A
+
c
o
s
A
+
S
i
n
3
A
−
c
o
s
3
A
s
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n
A
−
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=
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[4 MARKS]
Q.
Prove:
c
o
s
3
A
+
s
i
n
3
A
c
o
s
A
+
s
i
n
A
+
c
o
s
3
A
−
s
i
n
3
A
c
o
s
A
−
s
i
n
A
=
2
Q.
cos
3
A
+
sin
3
A
cos
A
+
sin
A
+
cos
3
A
−
sin
3
A
cos
A
−
sin
A
Q.
On simplifying
sin
3
A
+
sin
3
A
sin
A
+
cos
3
A
−
cos
3
A
cos
A
we get
Q.
Prove that
sinA
+
s
i
n
3
A
+
s
i
n
5
A
+
s
i
n
7
A
c
o
s
A
+
cos
3
A
+
cos
5
A
+
cos
7
A
=
tan
4
A
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