Question

[Section A] Short Answer-Type Questions
51. Find the product (a2 + b2 + c2 - ab - be - ca) and (a + b + c)​

Answer 1

$\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \\bf\\angle A & \\bf{0}^{ \\circ} & \\bf{30}^{ \\circ} & \\bf{45}^{ \\circ} & \\bf{60}^{ \\circ} & \\bf{90}^{ \\circ} \\\\ \\\\ \\rm sin A & 0 & \\dfrac{1}{2}& \\dfrac{1}{ \\sqrt{2} } & \\dfrac{ \\sqrt{3} }{2} &1 \\\\ \\\\ \\rm cos \\: A & 1 & \\dfrac{ \\sqrt{3} }{2}& \\dfrac{1}{ \\sqrt{2} } & \\dfrac{1}{2} &0 \\\\ \\\\ \\rm tan A & 0 & \\dfrac{1}{ \\sqrt{3} }& 1 & \\sqrt{3} & \\rm \\infty \\\\ \\\\ \\rm cosec A & \\rm \\infty & 2& \\sqrt{2} & \\dfrac{2}{ \\sqrt{3} } &1 \\\\ \\\\ \\rm sec A & 1 & \\dfrac{2}{ \\sqrt{3} }& \\sqrt{2} & 2 & \\rm \\infty\\: \\\\ \\\\ \\rm cot A & \\rm \\infty & \\sqrt{3} & 1 & \\dfrac{1}{ \\sqrt{3} } & 0 \end{array}}}\end{gathered}\end{gathered}$