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

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

Kontrolli

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Arvutage 2 aste 0,3420201433256687 ja leidke 0,11697777844051095979530830215969.

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

Arvutage 2 aste 0,6427876096865394 ja leidke 0,41317591116653492029192554775236.

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

Liitke 0,11697777844051095979530830215969 ja 0,41317591116653492029192554775236, et leida 0,53015368960704588008723384991205.

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

Korrutage 0,3420201433256687 ja 0,6427876096865394, et leida 0,21984631039295419598585689389678.

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

Liitke 0,53015368960704588008723384991205 ja 0,21984631039295419598585689389678, et leida 0,75000000000000007607309074380883.

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

Teisendage kümnendarv 0,75000000000000007607309074380883 murdarvuks \frac{75000000000000007607309074380883}{10000000000}. Taandage murd \frac{75000000000000007607309074380883}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

100000000000000000000000000000000 ja 4 vähim ühiskordne on 100000000000000000000000000000000. Teisendage \frac{75000000000000007607309074380883}{100000000000000000000000000000000} ja \frac{3}{4} murdarvudeks, mille nimetaja on 100000000000000000000000000000000.

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

Võrrelge omavahel \frac{75000000000000007607309074380883}{100000000000000000000000000000000} ja \frac{75000000000000000000000000000000}{100000000000000000000000000000000}.

$$\text{false}$$