Selesaikan 2cos^29.42/sin(2*17.47)

$$\frac { 2 \cos ^ { 2 } 9.42 } { \sin ( 2 \cdot 17.47 ) }$$

Evaluasi

$$\frac{249142277829552323712364521}{73307943423302067200000000}\approx 3,398571372$$

Langkah Solusi

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 0,9865150899868125 ^ {2}}{0,5727183079945474}$$

Hitung 0,9865150899868125 sampai pangkat 2 dan dapatkan 0,97321202277168876450142391015625.

$$\frac{2\times 0,97321202277168876450142391015625}{0,5727183079945474}$$

Kalikan 2 dan 0,97321202277168876450142391015625 untuk mendapatkan 1,9464240455433775290028478203125.

$$\frac{1,9464240455433775290028478203125}{0,5727183079945474}$$

Kembangkan \frac{1,9464240455433775290028478203125}{0,5727183079945474} dengan mengalikan pembilang dan penyebut dengan 10000000000000000000000000000000.

$$\frac{19464240455433775290028478203125}{5727183079945474000000000000000}$$

Kurangi pecahan \frac{19464240455433775290028478203125}{5727183079945474000000000000000} ke suku terendah dengan mengekstraksi dan membatalkan 78125.

$$\frac{249142277829552323712364521}{73307943423302067200000000}$$

Faktor

$$\frac{3 ^ {8} \cdot 254083 ^ {2} \cdot 766943 ^ {2}}{58440643672913 \cdot 2 ^ {16} \cdot 5 ^ {8} \cdot 7 ^ {2}} = 3\frac{2,9218447559646132 \times 10^{25}}{7,330794342330205 \times 10^{25}} = 3,398571371603348$$