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

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

Avaliar

$$0,00000000000000031$$

Passos Para a Resolução

Evaluate trigonometric functions in the problem

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

Some 0,9009688679024191 e 0,6234898018587336 para obter 1,5244586697611527.

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

Some 1,5244586697611527 e 0,22252093395631445 para obter 1,74697960371746715.

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

Subtraia 0,22252093395631434 de 1,74697960371746715 para obter 1,52445866976115281.

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

Subtraia 0,6234898018587335 de 1,52445866976115281 para obter 0,90096886790241931.

$$0,90096886790241931-0,900968867902419$$

Subtraia 0,900968867902419 de 0,90096886790241931 para obter 0,00000000000000031.

$$0,00000000000000031$$

Fatorizar

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