Riješi cospi/7+cos2pi/7+cos3pi/7+cos4pi/7+cosfrac{5pi}{7}+cosfrac{6pi}{7}=

$$\cos \frac { \pi } { 7 } + \cos \frac { 2 \pi } { 7 } + \cos \frac { 3 \pi } { 7 } + \cos \frac { 4 \pi } { 7 } + \cos \frac { 5 \pi } { 7 } + \cos \frac { 6 \pi } { 7 } =$$

Procijeni

$$0,00000000000000031$$

Koraci za rješenje

Evaluate trigonometric functions in the problem

$$0,9009688679024191 + 0,6234898018587336 + 0,22252093395631445 + -0,22252093395631434 + -0,6234898018587335 + -0,900968867902419$$

Saberite 0,9009688679024191 i 0,6234898018587336 da biste dobili 1,5244586697611527.

$$1,5244586697611527+0,22252093395631445-0,22252093395631434-0,6234898018587335-0,900968867902419$$

Saberite 1,5244586697611527 i 0,22252093395631445 da biste dobili 1,74697960371746715.

$$1,74697960371746715-0,22252093395631434-0,6234898018587335-0,900968867902419$$

Oduzmite 0,22252093395631434 od 1,74697960371746715 da biste dobili 1,52445866976115281.

$$1,52445866976115281-0,6234898018587335-0,900968867902419$$

Oduzmite 0,6234898018587335 od 1,52445866976115281 da biste dobili 0,90096886790241931.

$$0,90096886790241931-0,900968867902419$$

Oduzmite 0,900968867902419 od 0,90096886790241931 da biste dobili 0,00000000000000031.

$$0,00000000000000031$$

Faktor

$$\frac{31}{2 ^ {17} \cdot 5 ^ {17}} = 3,1 \times 10^{-16}$$