How to evaluate cot ((7pi)/6)?

mriswith170wp

mriswith170wp

Answered question

2023-02-13

How to evaluate cot ( 7 π 6 ) ?

Answer & Explanation

sewerpartyvv4

sewerpartyvv4

Beginner2023-02-14Added 7 answers

It is
cot ( π + 6 π 6 ) = cot ( π + π 6 ) = cot ( π 6 ) = 3
There's also that
cot ( π + π 6 ) = 1 tan ( π + π 6 )
Use the tan ( a + b ) = tan a + tan b 1 - ( tan a ) ( tan b )
so you obtain:
tan ( π + π 6 ) = tan π + tan π 6 1 - ( tan π ) ( tan π 6 ) = 0 + 3 3 1 - ( 0 ) ( 3 3 ) = 3 3 1 - 0 = 3 3 1 = 3 3
Therefore cot ( π + π 6 ) = 1 3 3 = 3

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