If cot x = tan (n-1) x , find the value of x.
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Answer:
tan
−1
x−cot
−1
x=tan
−1
(
3
1
)⟹2tan
−1
x−
2
π
=
6
π
⟹tan
−1
x=
3
π
⟹x=
3
sec
−1
(
x
2
)=sec
−1
(
3
2 )= 3π
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