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Byju's Answer
Standard X
Mathematics
Trigonometric Identities
What is the r...
Question
What is the relation between
s
e
c
θ
and
t
a
n
θ
for any value of
θ
?
A
t
a
n
2
θ
+
s
e
c
2
θ
=
1
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B
s
e
c
2
θ
+
1
=
t
a
n
2
θ
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C
t
a
n
2
θ
+
1
=
s
e
c
2
θ
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D
None of these
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Solution
The correct option is
C
t
a
n
2
θ
+
1
=
s
e
c
2
θ
The trigonometric identity between
s
e
c
θ
and
t
a
n
θ
is
t
a
n
2
θ
+
1
=
s
e
c
2
θ
.
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Q.
If θ is an acute angle such that sec
2
θ = 3, then the value of
tan
2
θ
-
cosec
2
θ
tan
2
θ
+
cosec
2
θ
is
(a)
4
7
(b)
3
7
(c)
2
7
(d)
1
7