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Byju's Answer
Standard XII
Mathematics
Principal Solution of Trigonometric Equation
If θ = √3, ...
Question
If
cot
θ
=
√
3
, find the value of
c
o
s
e
c
2
θ
+
cot
2
θ
c
o
s
e
c
2
θ
−
sec
2
θ
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Solution
Given :
cot
θ
=
√
3
⇒
θ
=
π
6
c
o
s
e
c
π
6
=
2
,
sec
π
6
=
2
√
3
→
c
o
s
e
c
2
θ
+
cot
2
θ
c
o
s
e
c
2
θ
−
sec
2
θ
=
4
+
3
4
−
4
3
=
21
8
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