Question

. В треугольнике АВС угол С=90градусов , АС=6см, ВС=8см. Найдите 1) tg B; 2) sin А. Напишите подробна с дано и чертежом пж . ЗАРАНЕЕ СПАСИБО

Answer 1

.............................

Answer 2

Given Information:

We are given the following information about triangle ABC: - Angle C = 90 degrees - Side AC = 6 cm - Side BC = 8 cm

Solution:

To find the values of tangent of angle B (tg B) and sine of angle A (sin A), we can use the trigonometric ratios.

1) Finding tg B: The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, we need to find the tangent of angle B.

To find tg B, we can use the following formula: tg B = (opposite side) / (adjacent side)

In triangle ABC, the side opposite angle B is AC and the side adjacent to angle B is BC. Therefore, we have: tg B = AC / BC

Substituting the given values, we have: tg B = 6 cm / 8 cm

Simplifying the expression, we get: tg B = 0.75

So, tg B = 0.75.

2) Finding sin A: The sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we need to find the sine of angle A.

To find sin A, we can use the following formula: sin A = (opposite side) / (hypotenuse)

In triangle ABC, the side opposite angle A is BC and the hypotenuse is AC. Therefore, we have: sin A = BC / AC

Substituting the given values, we have: sin A = 8 cm / 6 cm

Simplifying the expression, we get: sin A = 1.33

So, sin A = 1.33.

Diagram:

Here is a diagram representing triangle ABC:

       A
       |\
       | \
    6  |  \ 8
       |   \
       |    \
       B-----C

In the diagram, A represents angle A, B represents angle B, and C represents the right angle. The lengths of the sides are labeled accordingly.

Please note that the diagram is not to scale and is for illustrative purposes only.

I hope this helps! Let me know if you have any further questions.