Question

ПОМОГИТЕ РЕШИТЕ ТАНГЕНСЫ ЭТИ ,обязательно нужно решение!!

Answer 1

$\underbrace{tg1,4*Ctg1,4}_{1}+Ctg^{2}(-\frac{5\pi }{6})-Sin^{2}\frac{\pi }{6}-Cos^{2}\frac{\pi }{6}=\\\\=1+Ctg^{2}(\pi-\frac{\pi }{6} )-(\frac{1}{2})^{2} -(\frac{\sqrt{3} }{2})^{2}=1+Ctg^{2} \frac{\pi }{6}-\frac{1}{4} -\frac{3}{4} =\\\\=1+(\sqrt{3})^{2}-1=\boxed3$

Answer 2

Ответ:

$\underbrace{tg1,4\cdot ctg1,4}_{1}+ctg^2\Big(-\dfrac{5\pi }{6}\Big)-sin^2\dfrac{\pi}{6}-cos^2\dfrac{\pi}{6}=\\\\\\=1+ctg^2\Big(\pi-\dfrac{\pi}{6}\Big)-\Big(\underbrace {sin^2\dfrac{\pi}{6}+cos^2\dfrac{\pi}{6}}_{1}\Big)=1+ctg^2\dfrac{\pi}{6}-1=\Big(\sqrt3}\Big)^2=3$