What’s the ratios of each

Given:

The triangle ABC is a right triangle.

The length of AC = 25, the length of AB = 7 and the length of BC = 24

We need to determine the ratios of sin C, cos C and tan C.

Ratio of sin C:

Using the trigonometric ratio, the ratio of sin C is given by

where and

Thus, we get;

Substituting the values, we get;

Thus, the ratio of sin C is

Ratio of cos C:

The ratio of cos C can be determined using the trigonometric ratio.

Thus, we have;

where and

Substituting the values, we get;

Thus, the ratio of cos C is

Ratio of tan C:

The ratio of tan C can be determined using the trigonometric ratio.

Thus, we have;

where and

Thus, we have;

Substituting the values, we get;

Thus, the ratio of tan C is