Question 1079224
Evaluate cot2(75°) without a calculator, using the cofunction relationship and the exact form tan 15°=2-√3
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cot(75) = tan(15)
{{{cot^2(75) = (2 - sqrt(3))^2}}}
= {{{2^2 - 4sqrt(3) + 3}}}
= {{{7 - 4sqrt(3)}}}