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Byju's Answer
Standard XII
Mathematics
Properties Derived from Trigonometric Identities
The value of ...
Question
The value of
t
a
n
2
(
s
e
c
−
1
3
)
+
c
o
t
2
(
c
o
s
e
c
−
1
4
)
is
A
20
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B
21
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C
23
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D
25
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Solution
The correct option is
C
23
Let
S
e
c
−
1
3
=
α
,
c
o
s
e
c
−
1
4
=
β
⇒
t
a
n
2
α
+
c
o
t
2
β
=
9
−
1
+
16
−
1
=
23
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Q.
Find the value of
t
a
n
2
(
s
e
c
−
1
(
3
)
)
+
c
o
t
2
(
c
o
s
e
c
−
1
(
4
)
)