Resolver frac{3/2cos(27)-3cos(5)sqrt{5}}{cos(0.6)}

$$\frac{ \frac{ 3 }{ 2 } \cos ( 27 ) -3 \cos ( 5 ) \sqrt{ 5 } }{ \cos ( 0.6 ) }$$

Calcular

$$-\frac{9961946980917455\sqrt{5}}{3333150564551707}+\frac{8910065241883679}{6666301129103414}\approx -5.346460555$$

Pasos da solución

Evaluate trigonometric functions in the problem

$$\frac{\frac{3}{2} 0.8910065241883679 - 3 \cdot 0.9961946980917455 \sqrt{5}}{0.9999451693655121}$$

Converte o número decimal 0.8910065241883679 á fracción \frac{8910065241883679}{10000000000}. Reduce a fracción \frac{8910065241883679}{10000000000} a termos máis baixos extraendo e cancelando 1.

$$\frac{\frac{3}{2}\times \frac{8910065241883679}{10000000000000000}-0.9961946980917455\times 3\sqrt{5}}{0.9999451693655121}$$

Multiplica \frac{3}{2} por \frac{8910065241883679}{10000000000000000} mediante a multiplicación do numerador polo numerador e do denominador polo denominador.

$$\frac{\frac{3\times 8910065241883679}{2\times 10000000000000000}-0.9961946980917455\times 3\sqrt{5}}{0.9999451693655121}$$

Fai as multiplicacións na fracción \frac{3\times 8910065241883679}{2\times 10000000000000000}.

$$\frac{\frac{26730195725651037}{20000000000000000}-0.9961946980917455\times 3\sqrt{5}}{0.9999451693655121}$$

Multiplica 0.9961946980917455 e 3 para obter 2.9885840942752365.

$$\frac{\frac{26730195725651037}{20000000000000000}-2.9885840942752365\sqrt{5}}{0.9999451693655121}$$

Factorizar

$$\frac{8910065241883679 - 19923893961834910 \sqrt{5}}{6666301129103414} = -5.3464605548160025$$