Question

achar valor de A
lei dos senos : [100sen(60+45)]/sen(45)= a

usar a lei dos senos (seno de 60 e 45)

Answer 1

Resposta:

Explicação passo-a-passo:

$sen(60+45)=sen60.cos45+sen45.cos60$

como cos45=sen45 podemos escrever

$sen(60+45)=sen60.sen45+sen45.cos60=sen45(sen60+cos60)$

substituindo na expressão

$A=\dfrac{100.sen45(sen60+cos60)}{sen45}\\\\\\\ A=100.(sen60+cos60)\\\\\\\ A=100.(\dfrac{\sqrt{3}}{2}+\dfrac{1}{2})\\\\\\\ A=100.\dfrac{(\sqrt{3}+1)}{2}\\\\\\\ A=50.(\sqrt{3}+1)$