Question

What’s the ratios of each

Answer 1

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

`sin \ C=(opp)/(hyp)`

where
`opp=AB` and
`hyp=AC`

Thus, we get;

`sin \ C=(AB)/(AC)`

Substituting the values, we get;

`sin \ C=(7)/(25)`

Thus, the ratio of sin C is
`(7)/(25)`

Ratio of cos C:

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

Thus, we have;

`cos C=(adj)/(hyp)`

where
`adj=BC` and
`hyp=AC`

`cos \ C=(BC)/(AC)`

Substituting the values, we get;

`cos \ C=(24)/(25)`

Thus, the ratio of cos C is
`(24)/(25)`

Ratio of tan C:

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

Thus, we have;

`tan \ C=(opp)/(adj)`

where
`opp=AB` and
`adj=BC`

Thus, we have;

`tan \ C=(AB)/(BC)`

Substituting the values, we get;

`tan \ C=(7)/(25)`

Thus, the ratio of tan C is
`(7)/(25)`