Rešite sin^{2}20^{circ}+cos^250^circ+sin20^circcos50^circ=3/4

$$\sin ^ { 2 } 20 ^ { \circ } + \cos ^ { 2 } 50 ^ { \circ } + \sin 20 ^ { \circ } \cos 50 ^ { \circ } = \frac { 3 } { 4 }$$

Preveri

Koraki rešitve

Evaluate trigonometric functions in the problem

$$0,3420201433256687 ^ {2} + 0,6427876096865394 ^ {2} + 0,3420201433256687 \cdot 0,6427876096865394 = \frac{3}{4}$$

Izračunajte potenco 0,3420201433256687 števila 2, da dobite 0,11697777844051095979530830215969.

$$0,11697777844051095979530830215969+0,6427876096865394^{2}+0,3420201433256687\times 0,6427876096865394=\frac{3}{4}$$

Izračunajte potenco 0,6427876096865394 števila 2, da dobite 0,41317591116653492029192554775236.

$$0,11697777844051095979530830215969+0,41317591116653492029192554775236+0,3420201433256687\times 0,6427876096865394=\frac{3}{4}$$

Seštejte 0,11697777844051095979530830215969 in 0,41317591116653492029192554775236, da dobite 0,53015368960704588008723384991205.

$$0,53015368960704588008723384991205+0,3420201433256687\times 0,6427876096865394=\frac{3}{4}$$

Pomnožite 0,3420201433256687 in 0,6427876096865394, da dobite 0,21984631039295419598585689389678.

$$0,53015368960704588008723384991205+0,21984631039295419598585689389678=\frac{3}{4}$$

Seštejte 0,53015368960704588008723384991205 in 0,21984631039295419598585689389678, da dobite 0,75000000000000007607309074380883.

$$0,75000000000000007607309074380883=\frac{3}{4}$$

Pretvorite decimalno število 0,75000000000000007607309074380883 v ulomek \frac{75000000000000007607309074380883}{10000000000}. Zmanjšajte ulomek \frac{75000000000000007607309074380883}{10000000000} na najmanjši imenovalec tako, da izpeljete in okrajšate 1.

$$\frac{75000000000000007607309074380883}{100000000000000000000000000000000}=\frac{3}{4}$$

Najmanjši skupni mnogokratnik 100000000000000000000000000000000 in 4 je 100000000000000000000000000000000. Pretvorite \frac{75000000000000007607309074380883}{100000000000000000000000000000000} in \frac{3}{4} v ulomke z imenovalcem 100000000000000000000000000000000.

$$\frac{75000000000000007607309074380883}{100000000000000000000000000000000}=\frac{75000000000000000000000000000000}{100000000000000000000000000000000}$$

Primerjajte \frac{75000000000000007607309074380883}{100000000000000000000000000000000} in \frac{75000000000000000000000000000000}{100000000000000000000000000000000}.

$$\text{false}$$