Question

AABC, <= 90°, AC = 24см, ВС= 10 см. Знайти sin A. cos A. tg A

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

To find sin A, cos A, and tg A in triangle ABC, we can use the given information:

AC = 24 cm BC = 10 cm

First, let's find the length of AB using the Pythagorean theorem:

AB^2 = AC^2 - BC^2 AB^2 = (24 cm)^2 - (10 cm)^2 AB^2 = 576 cm^2 - 100 cm^2 AB^2 = 476 cm^2 AB = √476 cm AB ≈ 21.86 cm

Now, we can calculate the trigonometric ratios:

sin A = BC / AB sin A = 10 cm / 21.86 cm sin A ≈ 0.457

cos A = AC / AB cos A = 24 cm / 21.86 cm cos A ≈ 1.096

tg A = sin A / cos A tg A = 0.457 / 1.096 tg A ≈ 0.417

Therefore, in triangle ABC: sin A ≈ 0.457 cos A ≈ 1.096 tg A ≈ 0.417