Finding cot &#x2061;<!-- ⁡ --> ( &#x03C0;<!-- π --> 12 </mfrac> ) Given:

uplakanimkk

uplakanimkk

Answered question

2022-07-03

Finding cot ( π 12 )
Given:
cot ( θ ϕ ) = cot θ cot ϕ + 1 cot θ cot ϕ
And:
cot π 3 = 1 3 ; cot π 4 = 1
1 3 ( 1 ) + 1 1 3 1
1 + 3 1 3

Answer & Explanation

Leslie Rollins

Leslie Rollins

Beginner2022-07-04Added 25 answers

Your error is your formula. It is:
cot ( θ ϕ ) = cot ( θ ) cot ( ϕ ) + 1 cot ϕ cot θ
Notice the denominator order. You switched them, hence switching the sign.
Ayaan Barr

Ayaan Barr

Beginner2022-07-05Added 6 answers

cot π 12 = 1 + cos π 6 sin π 6 = 2 + 3

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