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

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

Tasdiqlamoq

Yechim qadamlari

Evaluate trigonometric functions in the problem

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

2 daraja ko‘rsatkichini 0,3420201433256687 ga hisoblang va 0,11697777844051095979530830215969 ni qiymatni oling.

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

2 daraja ko‘rsatkichini 0,6427876096865394 ga hisoblang va 0,41317591116653492029192554775236 ni qiymatni oling.

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

0,53015368960704588008723384991205 olish uchun 0,11697777844051095979530830215969 va 0,41317591116653492029192554775236'ni qo'shing.

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

0,21984631039295419598585689389678 hosil qilish uchun 0,3420201433256687 va 0,6427876096865394 ni ko'paytirish.

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

0,75000000000000007607309074380883 olish uchun 0,53015368960704588008723384991205 va 0,21984631039295419598585689389678'ni qo'shing.

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

0,75000000000000007607309074380883 o‘nlik raqamni uning \frac{75000000000000007607309074380883}{10000000000} kasrga o‘giring. \frac{75000000000000007607309074380883}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

100000000000000000000000000000000 va 4 ning eng kichik umumiy karralisi 100000000000000000000000000000000 ga teng. \frac{75000000000000007607309074380883}{100000000000000000000000000000000} va \frac{3}{4} ni 100000000000000000000000000000000 maxraj bilan kasrlarga aylantirib oling.

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

\frac{75000000000000007607309074380883}{100000000000000000000000000000000} va \frac{75000000000000000000000000000000}{100000000000000000000000000000000} ni taqqoslang.

$$\text{false}$$