Question

tg^2(5п+п/3)+ctg^2(3п-п/6)

Answer 1

$tan {}^{2} (5pi + frac{pi}{3} ) + cot {}^{2} (3pi - frac{pi}{6} ) = \ = tan {}^{2} ( frac{pi}{3} ) + cot {}^{2} ( frac{pi}{6} ) = (sqrt{3}) {}^{2} + \ + ( sqrt{3} ) {}^{2} = 3 + 3 = 6$
Примечание:ctg(3π-π/6)=-ctg(π/6),но т.к.
ctg²,то -ctg(π/6)*(-ctg(π/6))=ctg²(π/6)

Answer 2

Спасибо