Ratkaise tan^22-1/2tan2+1

$$\frac { \tan ^ { 2 } 2 - 1 } { 2 \tan 2 + 1 }$$

Laske

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000}\approx -0,933578015$$

Ratkaisun vaiheet

Evaluate trigonometric functions in the problem

$$\frac{0,03492076949174773 ^ {2} - 1}{2 \cdot 0,03492076949174773 + 1}$$

Laske 0,03492076949174773 potenssiin 2, jolloin ratkaisuksi tulee 0,0012194601418957790130245699601529.

$$\frac{0,0012194601418957790130245699601529-1}{2\times 0,03492076949174773+1}$$

Vähennä 1 luvusta 0,0012194601418957790130245699601529 saadaksesi tuloksen -0,9987805398581042209869754300398471.

$$\frac{-0,9987805398581042209869754300398471}{2\times 0,03492076949174773+1}$$

Kerro 2 ja 0,03492076949174773, niin saadaan 0,06984153898349546.

$$\frac{-0,9987805398581042209869754300398471}{0,06984153898349546+1}$$

Selvitä 1,06984153898349546 laskemalla yhteen 0,06984153898349546 ja 1.

$$\frac{-0,9987805398581042209869754300398471}{1,06984153898349546}$$

Lavenna \frac{-0,9987805398581042209869754300398471}{1,06984153898349546} kertomalla sekä osoittaja että nimittäjä luvulla 10000000000000000000000000000000000.

$$\frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000}$$

Supista murtoluku \frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000} luvulla 3.

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000}$$

Jaa tekijöihin

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000} = -0,9335780145600727$$