Resolver 73^2+(42)^2-2(73(42))cos81

$$73 ^ { 2 } + ( 42 ) ^ { 2 } - 2 ( 73 ( 42 ) ) \cos 81$$

Avaliar

$$6133,74386037330399856$$

Passos Para a Resolução

Evaluate trigonometric functions in the problem

$$73 ^ {2} + {(42)} ^ {2} - 2 {(73 {(42)})} 0,15643446504023092$$

Calcule 73 elevado a 2 e obtenha 5329.

$$5329+42^{2}-2\times 73\times 42\times 0,15643446504023092$$

Calcule 42 elevado a 2 e obtenha 1764.

$$5329+1764-2\times 73\times 42\times 0,15643446504023092$$

Some 5329 e 1764 para obter 7093.

$$7093-2\times 73\times 42\times 0,15643446504023092$$

Multiplique 2 e 73 para obter 146.

$$7093-146\times 42\times 0,15643446504023092$$

Multiplique 146 e 42 para obter 6132.

$$7093-6132\times 0,15643446504023092$$

Multiplique 6132 e 0,15643446504023092 para obter 959,25613962669600144.

$$7093-959,25613962669600144$$

Subtraia 959,25613962669600144 de 7093 para obter 6133,74386037330399856.

$$6133,74386037330399856$$

Fatorizar

$$\frac{11 \cdot 478493 \cdot 7283453966617}{2 ^ {13} \cdot 5 ^ {17}} = 6133\frac{4649127333150720}{6250000000000000} = 6133,743860373304$$