Selesaikan tan^22-1/2tan2+1

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

Evaluasi

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

Langkah Solusi

Evaluate trigonometric functions in the problem

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

Hitung 0,03492076949174773 sampai pangkat 2 dan dapatkan 0,0012194601418957790130245699601529.

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

Kurangi 1 dari 0,0012194601418957790130245699601529 untuk mendapatkan -0,9987805398581042209869754300398471.

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

Kalikan 2 dan 0,03492076949174773 untuk mendapatkan 0,06984153898349546.

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

Tambahkan 0,06984153898349546 dan 1 untuk mendapatkan 1,06984153898349546.

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

Kembangkan \frac{-0,9987805398581042209869754300398471}{1,06984153898349546} dengan mengalikan pembilang dan penyebut dengan 10000000000000000000000000000000000.

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

Kurangi pecahan \frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000} ke suku terendah dengan mengekstraksi dan membatalkan 3.

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

Faktor

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