Riješi 7sin39^circ/sqrt{3/2}

$$\frac { 7 \sin 39 ^ { \circ } } { \frac { \sqrt { 3 } } { 2 } }$$

Izračunaj

$$\frac{22026213686744309\sqrt{3}}{7500000000000000}\approx 5,086736161$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{7 \cdot 0,6293203910498374}{\frac{\sqrt{3}}{2}}$$

Pomnožite 7 i 0,6293203910498374 da biste dobili 4,4052427373488618.

$$\frac{4,4052427373488618}{\frac{\sqrt{3}}{2}}$$

Podijelite 4,4052427373488618 s \frac{\sqrt{3}}{2} tako da pomnožite 4,4052427373488618 s brojem recipročnim broju \frac{\sqrt{3}}{2}.

$$\frac{4,4052427373488618\times 2}{\sqrt{3}}$$

Racionalizirajte nazivnik \frac{4,4052427373488618\times 2}{\sqrt{3}} množenjem numeratora i nazivnika po \sqrt{3}.

$$\frac{4,4052427373488618\times 2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Kvadrat od \sqrt{3} je 3.

$$\frac{4,4052427373488618\times 2\sqrt{3}}{3}$$

Pomnožite 4,4052427373488618 i 2 da biste dobili 8,8104854746977236.

$$\frac{8,8104854746977236\sqrt{3}}{3}$$

Podijelite 8,8104854746977236\sqrt{3} s 3 da biste dobili \frac{22026213686744309}{7500000000000000}\sqrt{3}.

$$\frac{22026213686744309}{7500000000000000}\sqrt{3}$$