Løs frac{3/2cos(27)-3cos(5)sqrt{5}}{cos(06)}

$$\frac{ \frac{ 3 }{ 2 } \cos ( 27 ) -3 \cos ( 5 ) \sqrt{ 5 } }{ \cos ( 06 ) }$$

Evaluer

$$-\frac{5977168188550473\sqrt{5}}{2000000000000000}+1,33650978628255185\approx -5,346167405$$

Løsningstrinn

Evaluate trigonometric functions in the problem

$$\frac{\frac{3}{2} 0,8910065241883679 - 3 \cdot 0,9961946980917455 \sqrt{5}}{\cos(0 \cdot 6)}$$

Multipliser \frac{3}{2} med 0,8910065241883679 for å få \frac{26730195725651037}{20000000000000000}.

$$\frac{\frac{26730195725651037}{20000000000000000}-0,9961946980917455\times 3\sqrt{5}}{\cos(0\times 6)}$$

Multipliser 0,9961946980917455 med 3 for å få 2,9885840942752365.

$$\frac{\frac{26730195725651037}{20000000000000000}-2,9885840942752365\sqrt{5}}{\cos(0\times 6)}$$

Multipliser 0 med 6 for å få 0.

$$\frac{\frac{26730195725651037}{20000000000000000}-2,9885840942752365\sqrt{5}}{\cos(0)}$$

Få verdien av \cos(0) fra tabellen for trigonometriske verdier.

$$\frac{\frac{26730195725651037}{20000000000000000}-2,9885840942752365\sqrt{5}}{1}$$

Alt delt på 1, er lik seg selv.

$$\frac{26730195725651037}{20000000000000000}-2,9885840942752365\sqrt{5}$$