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Byju's Answer
Standard XII
Mathematics
Trigonometric Equations
If tan θ =1...
Question
If tan
θ
=
1
√
5
and
θ
lies in the first quadrant, the value of
cos
θ
is
A
1
√
6
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B
√
5
√
6
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C
−
1
√
6
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D
−
√
5
√
6
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Solution
The correct option is
B
√
5
√
6
Given
θ
lies in first quadrant
⟹
cos
θ
>
0
tan
θ
=
1
√
5
As we know that
sec
2
θ
=
1
+
tan
2
θ
=
1
+
(
1
√
5
)
2
=
1
+
1
5
=
6
5
⟹
sec
θ
=
√
6
√
5
cos
θ
=
1
sec
θ
=
1
√
6
√
5
=
√
5
√
6
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