Si : tgx ctg 3y = 1 sen y = cos70° calcular tgx?

Respuesta : tg x = √3

Explicación paso a paso : tg x .

Ctg 3y = 1 tg x = 1 / ctg 3ytg x = tg 3y x = 3ysen y = cos 70°El ángulo complementario a 70° es 20°Utilizar : cos 70° = sen 20°sen y = sen 20°y = 20°x = 3yx = 3(20°) x = 60°tg x = tg 60°Utilizar triangulo notable de 30°, 60° : Cateto menor = 1Cateto mayor = √3Hipotenusa = 2tg 60° = Cateto mayor / Cateto menortg 60° = √3 / 1tg 60° = √3tg x = tg 60°tg x = √3.