Resol 34-102(1+sqrt{2})cos(81)

$$34-102(1+ \sqrt{ 2 } ) \cos ( 81 )$$

Calcula

$$\frac{225546057073705577-199453942926294423\sqrt{2}}{12500000000000000}\approx -4,521953127$$

Passos de solució

Evaluate trigonometric functions in the problem

$$34 - 102 {(1 + \sqrt{2})} 0,15643446504023092$$

Multipliqueu 0,15643446504023092 per 102 per obtenir 15,95631543410355384.

$$34-15,95631543410355384\left(1+\sqrt{2}\right)$$

Utilitzeu la propietat distributiva per multiplicar -15,95631543410355384 per 1+\sqrt{2}.

$$34-15,95631543410355384-15,95631543410355384\sqrt{2}$$

Resteu 34 de 15,95631543410355384 per obtenir 18,04368456589644616.

$$18,04368456589644616-15,95631543410355384\sqrt{2}$$

Factoritzar

$$\frac{225546057073705577 - 199453942926294423 \sqrt{2}}{12500000000000000} = -4,5219531265159425$$