1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Sum of n Terms
If α,β,γ ar...
Question
If
α
,
β
,
γ
are in
A
.
P
, Then
cot
β
=
sin
α
−
sin
γ
cos
γ
−
cos
α
.
A
True
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
False
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
True
α
,
β
,
γ
are in A.P.
α
+
γ
=
2
β
β
=
α
+
γ
2
cot
β
=
cot
α
+
γ
2
=
cos
α
+
γ
2
sin
α
+
γ
2
=
2
sin
α
−
γ
2
cos
α
+
γ
2
2
sin
α
−
γ
2
sin
α
+
γ
2
=
sin
α
−
sin
γ
cos
γ
−
cos
α
cot
β
=
sin
α
−
sin
γ
cos
γ
−
cos
α
Suggest Corrections
0
Similar questions
Q.
If
α
,
β
,
γ
are in A.P. show that
cot
β
=
sin
α
−
sin
γ
cos
γ
−
c
o
s
α
.
Q.
If
α
,
β
,
γ
are in A.P., then
sin
α
−
sin
γ
cos
γ
−
cos
α
is equal to
Q.
If
c
o
s
α
+
c
o
s
β
+
c
o
s
γ
=
s
i
n
α
+
s
i
n
β
+
s
i
n
γ
=
0
, then
c
o
s
(
β
+
γ
)
+
c
o
s
(
γ
+
α
)
+
c
o
s
(
α
+
β
)
=
0
s
i
n
(
β
+
γ
)
s
i
n
(
γ
+
α
)
+
s
i
n
(
α
+
β
)
=
0
Q.
If
0
<
α
<
β
<
γ
<
π
/
2
, then show
tan
α
<
sin
α
+
sin
β
+
sin
γ
cos
α
+
cos
β
+
cos
γ
<
tan
γ
Q.
If
cos
α
+
cos
β
+
cos
γ
=
0
=
sin
α
+
sin
β
+
sin
γ
=
0
then
cos
(
2
α
−
β
−
γ
)
+
cos
(
2
β
−
γ
−
α
)
+
cos
(
2
γ
−
α
−
β
)
=
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
Arithmetic Progression - Sum of n Terms
MATHEMATICS
Watch in App
Explore more
Sum of n Terms
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