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Byju's Answer
Standard X
Mathematics
Trigonometric Ratio(sin,cos,tan)
49.Sin theta ...
Question
49.Sin theta = sin 9theta
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Similar questions
Q.
If
3
s
i
n
θ
+
4
c
o
s
θ
=
5
, then
4
s
i
n
θ
−
3
c
o
s
θ
is equal to
Q.
The value(s) of
θ
, which satisfy
3
−
2
c
o
s
θ
−
4
s
i
n
θ
−
c
o
s
2
θ
+
s
i
n
2
θ
=
0
is/are
Q.
Assertion :consider
Δ
ABC whose verticies are A = (3 + 4 cos
Θ
,
−
5
+
4
s
i
n
Θ
)
B
=
(
3
+
4
c
o
s
(
Θ
+
2
π
3
)
,
−
5
+
4
s
i
n
(
Θ
+
2
π
3
)
)
C
=
(
3
+
4
c
o
s
(
Θ
+
4
π
3
)
,
−
5
+
4
s
i
n
(
Θ
+
4
π
3
)
)
The orthocentre of the triangle is (3, 5) Reason: consider
Δ
ABC whose verticies are A = (3 + 4 cos
Θ
,
−
5
+
4
s
i
n
Θ
)
B
=
(
3
+
4
c
o
s
(
Θ
+
2
π
3
)
,
−
5
+
4
s
i
n
(
Θ
+
2
π
3
)
)
C
=
(
3
+
4
c
o
s
(
Θ
+
4
π
3
)
,
−
5
+
4
s
i
n
(
Θ
+
4
π
3
)
)
The triangle ABC is equilateral
Q.
The radius of the circle
r
=
3
c
o
s
θ
+
4
s
i
n
θ
is
Q.
If
α
,
β
are the different values of
Θ
satisfying the equation
3
c
o
s
Θ
+
4
s
i
n
Θ
=
9
2
then
s
i
n
(
α
+
β
)
=
.
.
.
.
(
i
f
0
<
α
,
β
<
π
2
)
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