1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
First Fundamental Theorem of Calculus
In any △ AB...
Question
In any
△
A
B
C
,
Π
(
sin
2
A
+
sin
A
+
1
sin
A
)
is always greater than :
A
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
27
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
D
27
Let
y
=
Π
(
sin
2
A
+
sin
A
+
1
sin
A
)
=
Π
[
1
+
(
sin
A
+
1
sin
A
)
]
Now we know in any triangle all
sin
A
,
sin
B
,
sin
C
are positive.
Thus using
A
.
M
≥
G
.
M
⇒
sin
A
+
1
sin
A
≥
2
Hence
y
≥
Π
(
1
+
2
)
=
27
Suggest Corrections
0
Similar questions
Q.
In any
Δ
A
B
C
,
Π
(
sin
2
A
+
sin
A
+
1
sin
A
)
is always greater than
Q.
In any
△
A
B
C
,
Σ
(
sin
2
A
+
sin
A
+
1
sin
A
)
is always greater than :
Q.
In any
△
A
B
C
,
∏
(
sin
2
A
+
sin
A
+
1
sin
A
)
is always greater than
Q.
In any
Δ
A
B
C
,
∑
(
sin
2
A
+
sin
A
+
1
sin
A
)
is always greater than
Q.
In any triangle ABC,
∑
sin
2
A
+
sin
A
+
1
sin
A
is always greater than
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Fundamental Theorem of Calculus
MATHEMATICS
Watch in App
Explore more
First Fundamental Theorem of Calculus
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app