Riješi 3/4-cos40^circ+sin10^circ-cos20^circ/2

$$\frac { 3 } { 4 } - \frac { \cos 40 ^ { \circ } + \sin 10 ^ { \circ } - \cos 20 ^ { \circ } } { 2 }$$

Izračunaj

$$0,750000000000000035$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{3}{4} - \frac{0,766044443118978 + 0,17364817766693033 - 0,9396926207859084}{2}$$

Dodajte 0,766044443118978 broju 0,17364817766693033 da biste dobili 0,93969262078590833.

$$\frac{3}{4}-\frac{0,93969262078590833-0,9396926207859084}{2}$$

Oduzmite 0,9396926207859084 od 0,93969262078590833 da biste dobili -0,00000000000000007.

$$\frac{3}{4}-\frac{-0,00000000000000007}{2}$$

Proširite \frac{-0,00000000000000007}{2} tako da i brojnik i nazivnik pomnožite sa 100000000000000000.

$$\frac{3}{4}-\frac{-7}{200000000000000000}$$

Razlomak \frac{-7}{200000000000000000} može se napisati kao -\frac{7}{200000000000000000} tako da se izluči negativan predznak.

$$\frac{3}{4}-\left(-\frac{7}{200000000000000000}\right)$$

Broj suprotan broju -\frac{7}{200000000000000000} jest \frac{7}{200000000000000000}.

$$\frac{3}{4}+\frac{7}{200000000000000000}$$

Najmanji zajednički višekratnik brojeva 4 i 200000000000000000 je 200000000000000000. Pretvorite \frac{3}{4} i \frac{7}{200000000000000000} u razlomak s nazivnikom 200000000000000000.

$$\frac{150000000000000000}{200000000000000000}+\frac{7}{200000000000000000}$$

Budući da \frac{150000000000000000}{200000000000000000} i \frac{7}{200000000000000000} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.

$$\frac{150000000000000000+7}{200000000000000000}$$

Dodajte 150000000000000000 broju 7 da biste dobili 150000000000000007.

$$\frac{150000000000000007}{200000000000000000}$$

Faktor

$$\frac{11 \cdot 13 \cdot 1048951048951049}{2 ^ {18} \cdot 5 ^ {17}} = 0,75$$