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

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

Verificar

Passos Para a Resolução

Evaluate trigonometric functions in the problem

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

Calcule 0,3420201433256687 elevado a 2 e obtenha 0,11697777844051095979530830215969.

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

Calcule 0,6427876096865394 elevado a 2 e obtenha 0,41317591116653492029192554775236.

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

Some 0,11697777844051095979530830215969 e 0,41317591116653492029192554775236 para obter 0,53015368960704588008723384991205.

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

Multiplique 0,3420201433256687 e 0,6427876096865394 para obter 0,21984631039295419598585689389678.

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

Some 0,53015368960704588008723384991205 e 0,21984631039295419598585689389678 para obter 0,75000000000000007607309074380883.

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

Converta o número decimal 0,75000000000000007607309074380883 na fração \frac{75000000000000007607309074380883}{10000000000}. Reduza a fração \frac{75000000000000007607309074380883}{10000000000} para os termos mais baixos ao retirar e anular 1.

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

O mínimo múltiplo comum de 100000000000000000000000000000000 e 4 é 100000000000000000000000000000000. Converta \frac{75000000000000007607309074380883}{100000000000000000000000000000000} e \frac{3}{4} em frações com o denominador 100000000000000000000000000000000.

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

Compare \frac{75000000000000007607309074380883}{100000000000000000000000000000000} e \frac{75000000000000000000000000000000}{100000000000000000000000000000000}.

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