Lahenda 5/sin48^circ65/sin45^circ

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

Arvuta

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

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Saate \frac{5}{0,7431448254773941} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

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

Leidke \sin(45) väärtus trigonomeetriliste väärtuste tabelist.

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

Jagage 65 väärtusega \frac{\sqrt{2}}{2}, korrutades 65 väärtuse \frac{\sqrt{2}}{2} pöördväärtusega.

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

Ratsionaliseerige korrutades lugeja ja \sqrt{2} nimetaja \frac{65\times 2}{\sqrt{2}} nimetaja.

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

\sqrt{2} ruut on 2.

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

Korrutage 65 ja 2, et leida 130.

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

Jagage 130\sqrt{2} väärtusega 2, et leida 65\sqrt{2}.

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

Korrutage \frac{50000000000000000}{7431448254773941} ja 65, et leida \frac{3250000000000000000}{7431448254773941}.

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