Question

Вычислите синусы, косинусы и тангенсы углов 120, 135 и 150 градусов.

Answer 1

$sin(120) =frac{sqrt{3}}{2}$

$cos(120)=-frac{1}{2}$

$tg(120)=-sqrt{3}$

 

$sin(135) = frac{sqrt{2}}{2}$

$cos(135) = -frac{sqrt{2}}{2}$

$tg(135)=-1$

 

$sin(150)=frac{1}{2}$

$cos(150)=-frac{sqrt{3}}{2}$

$tg(150)=-frac{sqrt{3}}{3}$

 

 

 

Answer 2

Sin120=Sin(180-60)=Sin60=√3/2

Sin135=Sin(180-45)=Sin45=√2/2

Sin150=Sin(180-30)=Sin30=1/2

 

Cos120=Cos(180-60)=Cos60=-1/2

Cos135=Cos(180-45)=Cos45=-√2/2

Cos150=Cos(180-30)=Cos30=-√3/2

 

Tg120=Tg(180-60)=Tg60=-√3

Tg135=Tg(180-45)=Tg45=-1

Tg150=Tg(180-30)=Tg30=-1/√3