Riješi 7sin21^circ/sqrt{3/2}

$$\frac { 7 \sin 21 ^ { \circ } } { \frac { \sqrt { 3 } } { 2 } }$$

Izračunaj

$$\frac{250857564681710189\sqrt{3}}{150000000000000000}\approx 2,89665365$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{7 \cdot 0,35836794954530027}{\frac{\sqrt{3}}{2}}$$

Pomnožite 7 i 0,35836794954530027 da biste dobili 2,50857564681710189.

$$\frac{2,50857564681710189}{\frac{\sqrt{3}}{2}}$$

Podijelite 2,50857564681710189 s \frac{\sqrt{3}}{2} tako da pomnožite 2,50857564681710189 s brojem recipročnim broju \frac{\sqrt{3}}{2}.

$$\frac{2,50857564681710189\times 2}{\sqrt{3}}$$

Racionalizirajte nazivnik \frac{2,50857564681710189\times 2}{\sqrt{3}} množenje brojnik i nazivnik \sqrt{3}.

$$\frac{2,50857564681710189\times 2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Kvadrat od \sqrt{3} je 3.

$$\frac{2,50857564681710189\times 2\sqrt{3}}{3}$$

Pomnožite 2,50857564681710189 i 2 da biste dobili 5,01715129363420378.

$$\frac{5,01715129363420378\sqrt{3}}{3}$$

Podijelite 5,01715129363420378\sqrt{3} s 3 da biste dobili \frac{250857564681710189}{150000000000000000}\sqrt{3}.

$$\frac{250857564681710189}{150000000000000000}\sqrt{3}$$