Решите уравнение
27^tg²x=a a+81/a-30=0 a²-30a+81=0 a1+a2=30 U a1*a2=81 a1=3⇒27^tg²x=3⇒3^3tg²x=3⇒3tg²x=1⇒tg²x=1/3 tgx=-1/√3⇒x=-π/6+πn,n∈z tgx=1/√3⇒x=π/6+πn,n∈z a2=27⇒27^tg²x=27⇒tg²x=1 tgx=-1⇒x=-π/4+πn,n∈z tgx=1⇒x=π/4+πn,n∈z