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Byju's Answer
Standard XII
Mathematics
Allied Angles
The value of ...
Question
The value of
cos
−
1
(
cos
680
∘
)
is
A
2
π
9
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B
−
2
π
9
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C
34
π
9
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D
π
9
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Solution
The correct option is
A
2
π
9
cos
−
1
(
cos
(
680
∘
)
)
=
cos
−
1
[
cos
(
720
∘
−
40
∘
)
]
=
cos
−
1
[
cos
(
40
∘
)
]
=
40
∘
(
∵
cos
−
1
(
cos
x
)
=
x
,
x
∈
[
0
,
π
]
)
=
2
π
9
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