Question

PARA O TRIÂNGULO RETÂNGULO ABC DETERMINE O SENO, O COSSENO E O TANGENTE DOS ÂNGULOS B E C.

Answer 1

Considerando A o ângulo reto:
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B:
senB=AC/BC
cosB=AB/BC
tgB=AC/AB
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C:
senC=AB/BC
cosC=AC/BC
tgC=AB/AC

Answer 2

Explicação passo-a-passo:

=> Ângulo B

• $\sf sen~\hat{B}=\dfrac{cateto~oposto}{hipotenusa}$

$\sf \red{sen~\hat{B}=\dfrac{\overline{AC}}{\overline{BC}}}$

• $\sf cos~\hat{B}=\dfrac{cateto~adjacente}{hipotenusa}$

$\sf \red{cos~\hat{B}=\dfrac{\overline{AB}}{\overline{BC}}}$

• $\sf tg~\hat{B}=\dfrac{cateto~oposto}{hipotenusa}$

$\sf \red{tg~\hat{B}=\dfrac{\overline{AC}}{\overline{AB}}}$

=> Ângulo C

• $\sf sen~\hat{C}=\dfrac{cateto~oposto}{hipotenusa}$

$\sf \red{sen~\hat{C}=\dfrac{\overline{AB}}{\overline{BC}}}$

• $\sf cos~\hat{C}=\dfrac{cateto~adjacente}{hipotenusa}$

$\sf \red{cos~\hat{C}=\dfrac{\overline{AC}}{\overline{BC}}}$

• $\sf tg~\hat{C}=\dfrac{cateto~oposto}{hipotenusa}$

$\sf \red{tg~\hat{C}=\dfrac{\overline{AB}}{\overline{AC}}}$