Atrisiniet 5/sin48^circ65/sin45^circ

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

Izrēķināt

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

Atrisinājuma darbības

Evaluate trigonometric functions in the problem

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

Izvērsiet \frac{5}{0,7431448254773941}, reizinot gan skaitītāju, gan saucēju ar 10000000000000000.

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

Iegūt \sin(45) vērtības no trigonometrisko vērtību tabulas.

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

Daliet 65 ar \frac{\sqrt{2}}{2}, reizinot 65 ar apgriezto daļskaitli \frac{\sqrt{2}}{2} .

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

Atbrīvojieties no iracionalitātes saucēju ar \frac{65\times 2}{\sqrt{2}}, reizinot skaitītāju un saucēju ar \sqrt{2}.

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

Skaitļa \sqrt{2} kvadrāts ir 2.

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

Reiziniet 65 un 2, lai iegūtu 130.

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

Daliet 130\sqrt{2} ar 2, lai iegūtu 65\sqrt{2}.

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

Reiziniet \frac{50000000000000000}{7431448254773941} un 65, lai iegūtu \frac{3250000000000000000}{7431448254773941}.

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