Resolver tan^22-1/2tan2+1

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

Calcular

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000}\approx -0.933578015$$

Pasos da solución

Evaluate trigonometric functions in the problem

$$\frac{0.03492076949174773 ^ {2} - 1}{2 \cdot 0.03492076949174773 + 1}$$

Calcula 0.03492076949174773 á potencia de 2 e obtén 0.0012194601418957790130245699601529.

$$\frac{0.0012194601418957790130245699601529-1}{2\times 0.03492076949174773+1}$$

Resta 1 de 0.0012194601418957790130245699601529 para obter -0.9987805398581042209869754300398471.

$$\frac{-0.9987805398581042209869754300398471}{2\times 0.03492076949174773+1}$$

Multiplica 2 e 0.03492076949174773 para obter 0.06984153898349546.

$$\frac{-0.9987805398581042209869754300398471}{0.06984153898349546+1}$$

Suma 0.06984153898349546 e 1 para obter 1.06984153898349546.

$$\frac{-0.9987805398581042209869754300398471}{1.06984153898349546}$$

Expande \frac{-0.9987805398581042209869754300398471}{1.06984153898349546} multiplicando o numerador e o denominador por 10000000000000000000000000000000000.

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

Reduce a fracción \frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000} a termos máis baixos extraendo e cancelando 3.

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

Factorizar

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000} = -0.9335780145600727$$