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

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

Kumpirmahin

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$0.3420201433256687 ^ {2} + 0.6427876096865394 ^ {2} + 0.3420201433256687 \cdot 0.6427876096865394 = \frac{3}{4}$$

Kalkulahin ang 0.3420201433256687 sa power ng 2 at kunin ang 0.11697777844051095979530830215969.

$$0.11697777844051095979530830215969+0.6427876096865394^{2}+0.3420201433256687\times 0.6427876096865394=\frac{3}{4}$$

Kalkulahin ang 0.6427876096865394 sa power ng 2 at kunin ang 0.41317591116653492029192554775236.

$$0.11697777844051095979530830215969+0.41317591116653492029192554775236+0.3420201433256687\times 0.6427876096865394=\frac{3}{4}$$

Idagdag ang 0.11697777844051095979530830215969 at 0.41317591116653492029192554775236 para makuha ang 0.53015368960704588008723384991205.

$$0.53015368960704588008723384991205+0.3420201433256687\times 0.6427876096865394=\frac{3}{4}$$

I-multiply ang 0.3420201433256687 at 0.6427876096865394 para makuha ang 0.21984631039295419598585689389678.

$$0.53015368960704588008723384991205+0.21984631039295419598585689389678=\frac{3}{4}$$

Idagdag ang 0.53015368960704588008723384991205 at 0.21984631039295419598585689389678 para makuha ang 0.75000000000000007607309074380883.

$$0.75000000000000007607309074380883=\frac{3}{4}$$

I-convert ang decimal number na 0.75000000000000007607309074380883 sa fraction na \frac{75000000000000007607309074380883}{10000000000}. Bawasan ang fraction \frac{75000000000000007607309074380883}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

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

Ang least common multiple ng 100000000000000000000000000000000 at 4 ay 100000000000000000000000000000000. I-convert ang \frac{75000000000000007607309074380883}{100000000000000000000000000000000} at \frac{3}{4} sa mga fraction na may denominator na 100000000000000000000000000000000.

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

Ikumpara ang \frac{75000000000000007607309074380883}{100000000000000000000000000000000} at \frac{75000000000000000000000000000000}{100000000000000000000000000000000}.

$$\text{false}$$