Trigonometrija pravouglog trougla

Sin A

$\sin A = \frac{\textbf{naspramna kateta}}{\textbf{hipotenuza}}$


Cos A

$\cos A = \frac{\textbf{nalegla kateta}}{\textbf{hipotenuza}}$


tg A

$\text{tg} A = \frac{\textbf{naspramna kateta}}{\textbf{nalegla kateta}}$

$\text{ctg} A = \frac{\textbf{nalegla kateta}}{\textbf{naspramna kateta}}$

=> $\text{tg} A = \frac{1}{\text{ctg} A}$

Primeri

sin, cos, tg, cotg primeri

$\sin A = \frac{a}{b} = \frac{7}{25}$

$\sin C = \frac{c}{b} = \frac{24}{25}$

$\cos A = \frac{c}{b} = \frac{24}{25}$

$\cos C = \frac{a}{b} = \frac{7}{25}$

$\text{tg}\ A = \frac{a}{c} = \frac{7}{24}$

$\text{tg}\ C = \frac{c}{a} = \frac{24}{7}$

$\text{ctg}\ A = \frac{c}{a} = \frac{24}{7}$

$\text{ctg}\ C = \frac{a}{c} = \frac{7}{24}$


Sin, cos, tg, ctg

$a = b\cdot\sin A$
$a = b \cdot \cos C$
$a = c \cdot \text{tg } A$
$a = c \cdot \text{ctg } C$

$c = b\cdot\sin C$
$c = b \cdot \cos A$
$c = a \cdot \text{tg } C$
$c = a \cdot \text{ctg } A$


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