Question

tg(a-45°)=3 tga-? helpppp​

Answer 1

Răspuns:

-2

Explicație pas cu pas:

$tg(a-45^{o})=3,~~\dfrac{tga-tg45^{o}}{1+tga*tg45^{o}}=3~~ \dfrac{tga-1}{1+tga*1}=3$

⇒tga-1=3(1+tga) ⇒tga-1=3+3·tga ⇒tga- 3·tga =3+1 ⇒-2·tga=4 ⇒tga=4:(-2) ⇒ tga=-2.