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Byju's Answer
Standard X
Mathematics
Complementary Trigonometric Ratios
sin 2A sin A ...
Question
sin
2
A
sin
A
−
cos
2
A
cos
A
=
sec
A
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Solution
Solving given problem, we get
LHS,
2
s
i
n
A
c
o
s
A
s
i
n
A
−
2
c
o
s
2
A
−
1
c
o
s
A
=
2
c
o
s
A
−
2
c
o
s
A
+
s
e
c
A
=
s
e
c
A
=
RHS
Hence proved
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Similar questions
Q.
Prove that
s
i
n
A
+
c
o
s
A
s
i
n
A
−
c
o
s
A
+
s
i
n
A
−
c
o
s
A
s
i
n
A
+
c
o
s
A
=
2
s
i
n
2
A
−
c
o
s
2
A
Q.
Show that
1
+
sin
2
A
cos
2
A
=
cos
A
+
sin
A
cos
A
−
sin
A
=
cot
(
π
4
−
A
)
.
Q.
I
f
s
i
n
y
=
x
s
i
n
(
a
+
y
)
,
t
h
e
n
d
y
d
x
=
Q.
sin
A
+
sin
2
A
+
sin
4
A
+
sin
5
A
cos
A
+
cos
2
A
+
cos
4
A
+
cos
5
A
=
tan
x
A
. Find
x
Q.
If
sin
A
+
sin
2
A
=
2
,
then the value of
cos
A
+
cos
2
A
+
cos
4
A
is
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