Question

if
tan 15 = 2-√3, then the value of

cot75
is​

Answer 1

Cot75 = cos75/sin75

=root3-1/2root2/root3+1/2root2

=root3-1/root3+1

$\sqrt{3} - 1 \div \sqrt{3} + 1 \times \sqrt{3} - 1 \div \sqrt{3} - 1$

$( \sqrt{3} - 1) {}^{2} \div \ (\sqrt{ 3} ) {}^{2} - 1$

$4 - 2 \sqrt{3} \div 2 \\ 2(2 - \sqrt{3} ) \div 2 \\ = > 2 - \sqrt{3}$

$cos75 = 2 - \sqrt{3}$

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