Question

What are the ratios for sin A and cos A? The triangle is not drawn to scale.

Answer 1

`SinA = (84)/(85)` and
`CosA=(13)/(85)`

Explanation:

The ratios of sine and cos are defined as follows:

`Sin A = (Opposite)/(Hypotenuse)` , and

`CosA = (Adjacent)/(Hypotenuse)`

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

`Sin A = (Opposite)/(Hypotenuse)\\SinA = (84)/(85)`

`CosA = (Adjacent)/(Hypotenuse)\\CosA=(13)/(85)`

The correct answer is the first answer choice.