sinx/1^4-sin2x/2^4+sin3x/3^4 eching

$$\frac { \sin x } { 1 ^ { 4 } } - \frac { \sin 2 x } { 2 ^ { 4 } } + \frac { \sin 3 x } { 3 ^ { 4 } }$$

Omil

$$\frac{\sin(x)\left(\cos(x)\left(32\cos(x)-81\right)+640\right)}{648}$$

Yechim qadamlari

4 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$factor(\frac{\sin(x)}{1}-\frac{\sin(2x)}{2^{4}}+\frac{\sin(3x)}{3^{4}})$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$factor(\sin(x)-\frac{\sin(2x)}{2^{4}}+\frac{\sin(3x)}{3^{4}})$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$factor(\sin(x)-\frac{\sin(2x)}{16}+\frac{\sin(3x)}{3^{4}})$$

4 daraja ko‘rsatkichini 3 ga hisoblang va 81 ni qiymatni oling.

$$factor(\sin(x)-\frac{\sin(2x)}{16}+\frac{\sin(3x)}{81})$$

\frac{1}{1296} omili.

$$\frac{1296\sin(x)-81\sin(2x)+16\sin(3x)}{1296}$$

Baholash

$$\frac{\sin(x)\left(\cos(x)\left(32\cos(x)-81\right)+640\right)}{648}$$