sin^{2}30^{circ}+cos^260^circ+sin30^circcos60^circ=3/4 eching

$$\sin ^ { 2 } 30 ^ { \circ } + \cos ^ { 2 } 60 ^ { \circ } + \sin 30 ^ { \circ } \cos 60 ^ { \circ } = \frac { 3 } { 4 }$$

Tasdiqlamoq

Yechim qadamlari

Trigonometrik qiymatlar jadvaldan \sin(30) qiymatini oling.

$$\left(\frac{1}{2}\right)^{2}+\left(\cos(60)\right)^{2}+\sin(30)\cos(60)=\frac{3}{4}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{1}{4}+\left(\cos(60)\right)^{2}+\sin(30)\cos(60)=\frac{3}{4}$$

Trigonometrik qiymatlar jadvaldan \cos(60) qiymatini oling.

$$\frac{1}{4}+\left(\frac{1}{2}\right)^{2}+\sin(30)\cos(60)=\frac{3}{4}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{1}{4}+\frac{1}{4}+\sin(30)\cos(60)=\frac{3}{4}$$

\frac{1}{2} olish uchun \frac{1}{4} va \frac{1}{4}'ni qo'shing.

$$\frac{1}{2}+\sin(30)\cos(60)=\frac{3}{4}$$

Trigonometrik qiymatlar jadvaldan \sin(30) qiymatini oling.

$$\frac{1}{2}+\frac{1}{2}\cos(60)=\frac{3}{4}$$

Trigonometrik qiymatlar jadvaldan \cos(60) qiymatini oling.

$$\frac{1}{2}+\frac{1}{2}\times \frac{1}{2}=\frac{3}{4}$$

\frac{1}{4} hosil qilish uchun \frac{1}{2} va \frac{1}{2} ni ko'paytirish.

$$\frac{1}{2}+\frac{1}{4}=\frac{3}{4}$$

\frac{3}{4} olish uchun \frac{1}{2} va \frac{1}{4}'ni qo'shing.

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

\frac{3}{4} va \frac{3}{4} ni taqqoslang.

$$\text{true}$$