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

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

I-evaluate

$$\frac{225546057073705577-199453942926294423\sqrt{2}}{12500000000000000}\approx -4.521953127$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$34 - 102 {(1 + \sqrt{2})} 0.15643446504023092$$

I-multiply ang 0.15643446504023092 at 102 para makuha ang 15.95631543410355384.

$$34-15.95631543410355384\left(1+\sqrt{2}\right)$$

Gamitin ang distributive property para i-multiply ang -15.95631543410355384 gamit ang 1+\sqrt{2}.

$$34-15.95631543410355384-15.95631543410355384\sqrt{2}$$

I-subtract ang 15.95631543410355384 mula sa 34 para makuha ang 18.04368456589644616.

$$18.04368456589644616-15.95631543410355384\sqrt{2}$$

I-factor

$$\frac{225546057073705577 - 199453942926294423 \sqrt{2}}{12500000000000000} = -4.5219531265159425$$