Solve tan^22-1/2tan2+1

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

Evaluate

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

Solution Steps

Evaluate trigonometric functions in the problem

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

Calculate 0.03492076949174773 to the power of 2 and get 0.0012194601418957790130245699601529.

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

Subtract 1 from 0.0012194601418957790130245699601529 to get -0.9987805398581042209869754300398471.

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

Multiply 2 and 0.03492076949174773 to get 0.06984153898349546.

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

Add 0.06984153898349546 and 1 to get 1.06984153898349546.

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

Expand \frac{-0.9987805398581042209869754300398471}{1.06984153898349546} by multiplying both numerator and the denominator by 10000000000000000000000000000000000.

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

Reduce the fraction \frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000} to lowest terms by extracting and canceling out 3.

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

Factor

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