Whakaoti i te 5/sin48^circ65/sin45^circ

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

Aromātai

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

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

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

Whakarohaina te \frac{5}{0.7431448254773941} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

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

Tīkina te uara \sin(45) mai i te ripanga uara pākoki.

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

Whakawehe 65 ki te \frac{\sqrt{2}}{2} mā te whakarea 65 ki te tau huripoki o \frac{\sqrt{2}}{2}.

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

Whakangāwaritia te tauraro o \frac{65\times 2}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Whakareatia te 65 ki te 2, ka 130.

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

Whakawehea te 130\sqrt{2} ki te 2, kia riro ko 65\sqrt{2}.

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

Whakareatia te \frac{50000000000000000}{7431448254773941} ki te 65, ka \frac{3250000000000000000}{7431448254773941}.

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