Resolver tan^22-1/2tan2+1

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

Avaliar

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

Passos Para a Resolução

Evaluate trigonometric functions in the problem

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

Calcule 0,03492076949174773 elevado a 2 e obtenha 0,0012194601418957790130245699601529.

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

Subtraia 1 de 0,0012194601418957790130245699601529 para obter -0,9987805398581042209869754300398471.

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

Multiplique 2 e 0,03492076949174773 para obter 0,06984153898349546.

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

Some 0,06984153898349546 e 1 para obter 1,06984153898349546.

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

Expanda \frac{-0,9987805398581042209869754300398471}{1,06984153898349546} ao multiplicar o numerador e o denominador por 10000000000000000000000000000000000.

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

Reduza a fração \frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000} para os termos mais baixos ao retirar e anular 3.

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

Fatorizar

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