16*1sin20^circ*sin75^circ/sin45^circ eching

$$\frac { 16 \cdot 1 \sin 20 ^ { \circ } \cdot \sin 75 ^ { \circ } } { \sin 45 ^ { \circ } }$$

Baholash

$$\frac{3308193876986619\sqrt{2}}{625000000000000}\approx 7,485588236$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{16 \cdot 1 \cdot 0,3308193876986619}{\sin(45)}$$

16 hosil qilish uchun 16 va 1 ni ko'paytirish.

$$\frac{16\times 0,3308193876986619}{\sin(45)}$$

5,2931102031785904 hosil qilish uchun 16 va 0,3308193876986619 ni ko'paytirish.

$$\frac{5,2931102031785904}{\sin(45)}$$

Trigonometrik qiymatlar jadvaldan \sin(45) qiymatini oling.

$$\frac{5,2931102031785904}{\frac{\sqrt{2}}{2}}$$

5,2931102031785904 ni \frac{\sqrt{2}}{2} ga bo'lish 5,2931102031785904 ga k'paytirish \frac{\sqrt{2}}{2} ga qaytarish.

$$\frac{5,2931102031785904\times 2}{\sqrt{2}}$$

\frac{5,2931102031785904\times 2}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{5,2931102031785904\times 2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} kvadrati – 2.

$$\frac{5,2931102031785904\times 2\sqrt{2}}{2}$$

10,5862204063571808 hosil qilish uchun 5,2931102031785904 va 2 ni ko'paytirish.

$$\frac{10,5862204063571808\sqrt{2}}{2}$$

5,2931102031785904\sqrt{2} ni olish uchun 10,5862204063571808\sqrt{2} ni 2 ga bo‘ling.

$$5,2931102031785904\sqrt{2}$$