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Byju's Answer
Standard XII
Mathematics
Sum of Trigonometric Ratios in Terms of Their Product
In Δ ABC if...
Question
In
Δ
A
B
C
if,
sin
B
sin
C
=
2
cos
A
then the triangle is
A
right angled
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B
isosceles
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C
equilateral
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D
scalene
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Solution
The correct option is
B
isosceles
s
i
n
B
=
2
c
o
s
A
s
i
n
C
s
i
n
B
=
s
i
n
(
A
+
C
)
−
s
i
n
(
A
−
C
)
s
i
n
B
=
s
i
n
(
π
−
B
)
−
s
i
n
(
A
−
C
)
s
i
n
(
A
−
C
)
=
0
A
−
C
=
0
A
=
C
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0
Similar questions
Q.
In
Δ
A
B
C
; with usual notations, if
cos
A
=
sin
B
sin
C
, then the triangle is _______.
Q.
If in a
Δ
A
B
C
,
cos
A
+
2
cos
C
cos
A
+
2
cos
B
=
sin
B
sin
C
, then the triangle is
Q.
If in a
Δ
A
B
C
,
2
cos
A
sin
C
=
sin
B
then the triangle is
Q.
In
Δ
A
B
C
, if
sin
A
+
sin
B
+
sin
C
=
√
2
+
1
and
cos
A
+
cos
B
+
cos
C
=
√
2
,
then the triangle is
Q.
In any
Δ
A
B
C
∑
√
sin
A
√
sin
B
+
√
sin
C
−
√
sin
A
≥
3
then show that the equality holds if and only if triangle is equilateral.
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Sum of Trigonometric Ratios in Terms of Their Product
Standard XII Mathematics
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