Question

3tg ( х\3 + п\6) = √3 Пожалуйста !

Answer 1

Тангенс (х\3+П\6) = (tg x/3 + tg п/6) / (1 - tg x/3*tg п/6) = = (tg x/3 + √3/3) / (1 - tg x/3*√3/3)
√3тангенс (х\3+П\6)=3
√3(tg x/3 + √3/3) / (1 - tg x/3*√3/3) = 3
(√3tg x/3 + 1) / (1 - tg x/3*√3/3) = 3
(√3tg x/3 + tg x/3*ctg x/3) / (tg x/3*ctg x/3 - tg x/3*√3/3) = 3
tg x/3(√3 + ctg x/3) / tg x/3(ctg x/3 - √3/3) = 3
(√3 + ctg x/3) / (ctg x/3 - √3/3) = 3
√3 + ctg x/3 = 3ctg x/3 - √3
2ctg x/3 = 2√3
ctg x/3 = √3
x/3 = п/6 + k, где k - целые числа
x = п/2 + k, где k - целые числа