Question

Enter the patriot equivalent to Tan (A)

And

Enter the ratio equivalent to cos (B)

Answer 1

`(a)\ \tan A = (5)/(12)`

`(b)\ \cos B = (5)/(13)`

Explanation:

Given

See attachment for triangles

Solving (a)

`\tan(A)`

The tan of an angle is:

`\tan(\theta) = (Opposite)/(Adjacent)`

From the given triangle.

`Opposite = 5`

`Adjacent = 12`

So, we have:

`\tan A = (5)/(12)`

Solving (b)

`\cos(B)`

The cos of an angle is:

`\cos(\theta) = (Adjacent)/(Hypotenuse)`

From the given triangle.

`Adjacent = 5`

`Hypotenuse = 13`

So, we have:

`\cos B = (5)/(13)`