1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine
If y= sin ...
Question
If
y
=
(
sin
x
+
c
o
s
e
c
x
)
2
+
(
cos
x
+
sec
x
)
2
, then the minimum value of
y
,
∀
x
∈
R
,
is
A
7
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
9
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
D
9
y
=
(
sin
x
+
c
o
s
e
c
x
)
2
+
(
cos
x
+
sec
x
)
2
=
sin
2
x
+
c
o
s
e
c
2
x
+
2
+
cos
2
x
+
sec
2
x
+
2
=
4
+
sin
2
x
+
cos
2
x
+
c
o
s
e
c
2
x
+
sec
2
x
=
5
+
c
o
s
e
c
2
x
+
sec
2
x
......
[
∵
sin
2
x
+
cos
2
x
=
1
]
Minimum value of
c
o
s
e
c
2
x
+
sec
2
x
is 4.
So, minimum value of y is
9
.
Suggest Corrections
0
Similar questions
Q.
Let
y
=
(
sin
x
+
csc
x
)
2
+
(
cos
x
+
sec
x
)
2
,then minimum value of y is-
Q.
If
y
=
sin
(
x
+
9
)
cos
x
, then
d
y
d
x
at
x
=
0
, is
Q.
If
0
<
x
,
y
<
π
and
cos
x
+
cos
y
−
cos
(
x
+
y
)
=
3
2
,
then
sin
x
+
cos
y
is equal to :
Q.
If
sin
x
−
cos
y
=
sin
π
7
and
cos
x
+
sin
y
=
cos
π
7
then find the value of
sin
(
x
−
y
)
.
Q.
If
0
<
x
<
π
2
, then the minimum value of
(
sin
x
+
cos
x
+
c
o
s
e
c
2
x
)
, is
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
MATHEMATICS
Watch in App
Explore more
Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine
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
Solve
Textbooks
Question Papers
Install app