C=1+tan(2pi/9)^2/sqrt{(4^2+1)} eching

$$C = \frac { 1 + \tan ( 2 \frac { \pi } { 9 } ) ^ { 2 } } { \sqrt { ( 4 ^ { 2 } + 1 ) } }$$

C uchun yechish

$$C=\frac{170408819104184715837886196294401\sqrt{17}}{1700000000000000000000000000000000}\approx 0,413302095$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$C = \frac{1 + 0,8390996311772799 ^ {2}}{\sqrt{{(4 ^ {2} + 1)}}}$$

2 daraja ko‘rsatkichini 0,8390996311772799 ga hisoblang va 0,70408819104184715837886196294401 ni qiymatni oling.

$$C=\frac{1+0,70408819104184715837886196294401}{\sqrt{4^{2}+1}}$$

1,70408819104184715837886196294401 olish uchun 1 va 0,70408819104184715837886196294401'ni qo'shing.

$$C=\frac{1,70408819104184715837886196294401}{\sqrt{4^{2}+1}}$$

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

$$C=\frac{1,70408819104184715837886196294401}{\sqrt{16+1}}$$

17 olish uchun 16 va 1'ni qo'shing.

$$C=\frac{1,70408819104184715837886196294401}{\sqrt{17}}$$

\frac{1,70408819104184715837886196294401}{\sqrt{17}} maxrajini \sqrt{17} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$C=\frac{1,70408819104184715837886196294401\sqrt{17}}{\left(\sqrt{17}\right)^{2}}$$

\sqrt{17} kvadrati – 17.

$$C=\frac{1,70408819104184715837886196294401\sqrt{17}}{17}$$

\frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17} ni olish uchun 1,70408819104184715837886196294401\sqrt{17} ni 17 ga bo‘ling.

$$C=\frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}$$

C'ni tayinlash

$$C≔\frac{170408819104184715837886196294401\sqrt{17}}{1700000000000000000000000000000000}$$