WHAT IS THE VALUE OF COS-1 (COS 7π/6) ?
Answers
Answered by
1
Answer:
the value of cos-1(cos7π/6) is π/6
Answered by
1
The answer will be
5
π
6
Explanation:
You can write
7
π
6
as
(
π
+
π
6
)
Thus we can clearly see the angle falls in the third quadrant. And the cosine value in third quadrant is always negative.
Hence,
cos
(
π
+
π
6
)
=
−
cos
(
π
6
)
coming back to the question
cos
−
1
[
cos
(
7
π
6
)
]
=
cos
−
1
[
−
cos
(
π
6
)
]
=
π
−
cos
−
1
[
cos
(
π
6
)
]
=
π
−
π
6
=
5
π
6
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