Rešite 5/sin48^circ65/sin45^circ

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

Ovrednoti

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

Koraki rešitve

Evaluate trigonometric functions in the problem

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

Razširite \frac{5}{0,7431448254773941} tako, da pomnožite števec in imenovalec s številom 10000000000000000.

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

Pridobite vrednost \sin(45) iz tabele trigonometričnih vrednosti.

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

Delite 65 s/z \frac{\sqrt{2}}{2} tako, da pomnožite 65 z obratno vrednostjo \frac{\sqrt{2}}{2}.

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

Racionalizirajte imenovalec \frac{65\times 2}{\sqrt{2}} tako, da pomnožite števec in imenovalec s \sqrt{2}.

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

Kvadrat vrednosti \sqrt{2} je 2.

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

Pomnožite 65 in 2, da dobite 130.

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

Delite 130\sqrt{2} s/z 2, da dobite 65\sqrt{2}.

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

Pomnožite \frac{50000000000000000}{7431448254773941} in 65, da dobite \frac{3250000000000000000}{7431448254773941}.

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