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Byju's Answer
Standard XII
Mathematics
Trigonometric Equations
If θ∈ 0,π/2...
Question
If
θ
∈
(
0
,
π
2
)
, then the value of
cos
(
θ
−
π
4
)
lies in the interval
A
(
1
2
,
1
)
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B
(
1
√
2
,
1
)
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C
(
−
1
√
2
,
1
)
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D
(
0
,
1
)
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Solution
The correct option is
B
(
1
√
2
,
1
)
∵
0
<
θ
<
π
2
∴
−
π
4
<
θ
−
π
4
<
π
4
Let
θ
−
π
4
=
A
For
A
∈
(
−
π
4
,
π
4
)
cos
A
∈
(
1
√
2
,
1
)
Ans: B
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