Issolvi 5/sin48^circ65/sin45^circ

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

Evalwa

$$\frac{3250000000000000000\sqrt{2}}{7431448254773941}\approx 618.478918259$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$\frac{5}{0.7431448254773941} \frac{65}{\sin(45)}$$

Espandi \frac{5}{0.7431448254773941} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

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

Ikseb il-valur ta’ \sin(45) mit-tabella tal-valuri trigonometriċi.

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

Iddividi 65 b'\frac{\sqrt{2}}{2} billi timmultiplika 65 bir-reċiproku ta' \frac{\sqrt{2}}{2}.

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

Irrazzjonalizza d-denominatur tal-\frac{65\times 2}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

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

Il-kwadrat ta' \sqrt{2} huwa 2.

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

Immultiplika 65 u 2 biex tikseb 130.

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

Iddividi 130\sqrt{2} b'2 biex tikseb65\sqrt{2}.

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

Immultiplika \frac{50000000000000000}{7431448254773941} u 65 biex tikseb \frac{3250000000000000000}{7431448254773941}.

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