Riješi 5/sin48^circ65/sin45^circ

$$\frac { 5 } { \sin 48 ^ { \circ } } \frac { 65 } { \sin 45 ^ { \circ } }$$

Izračunaj

$$\frac{3250000000000000000\sqrt{2}}{7431448254773941}\approx 618,478918259$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{5}{0,7431448254773941} \frac{65}{\sin(45)}$$

Proširite \frac{5}{0,7431448254773941} tako da i brojnik i nazivnik pomnožite sa 10000000000000000.

$$\frac{50000000000000000}{7431448254773941}\times \frac{65}{\sin(45)}$$

Nabavite vrijednost \sin(45) iz tablice trigonometrijskih vrijednosti.

$$\frac{50000000000000000}{7431448254773941}\times \frac{65}{\frac{\sqrt{2}}{2}}$$

Podijelite 65 s \frac{\sqrt{2}}{2} tako da pomnožite 65 s brojem recipročnim broju \frac{\sqrt{2}}{2}.

$$\frac{50000000000000000}{7431448254773941}\times \frac{65\times 2}{\sqrt{2}}$$

Racionalizirajte nazivnik \frac{65\times 2}{\sqrt{2}} množenje brojnik i nazivnik \sqrt{2}.

$$\frac{50000000000000000}{7431448254773941}\times \frac{65\times 2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Kvadrat od \sqrt{2} je 2.

$$\frac{50000000000000000}{7431448254773941}\times \frac{65\times 2\sqrt{2}}{2}$$

Pomnožite 65 i 2 da biste dobili 130.

$$\frac{50000000000000000}{7431448254773941}\times \frac{130\sqrt{2}}{2}$$

Podijelite 130\sqrt{2} s 2 da biste dobili 65\sqrt{2}.

$$\frac{50000000000000000}{7431448254773941}\times 65\sqrt{2}$$

Pomnožite \frac{50000000000000000}{7431448254773941} i 65 da biste dobili \frac{3250000000000000000}{7431448254773941}.

$$\frac{3250000000000000000}{7431448254773941}\sqrt{2}$$