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if sec2 tan2 3 then find the value of cot
Question:
If
sec
2
θ
+
tan
2
θ
=
3
then find the value of
cot
θ
.
MHT CET
Updated On:
Jun 23, 2024
(A) 0
(B) 1
(C) 2
(D)
3
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The Correct Option is
B
Solution and Explanation
Explanation:
Given,
sec
2
θ
+
tan
2
θ
=
3
...(i)Subtracting 1 from both sides in equation (i) we get,
sec
2
θ
+
tan
2
θ
−
1
=
3
−
1
(
∵
sec
2
θ
−
1
=
tan
2
θ
)
⇒
tan
2
θ
+
tan
2
θ
=
2
⇒
2
tan
2
θ
=
2
⇒
tan
2
θ
=
1
⇒
tan
θ
=
1
Now,
cot
θ
=
1
tan
θ
=
1
Hence, the correct option is (B).
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