Question

A right triangle has side lengths 5 , 12 , and 13 as shown below. Use these lengths to find tanX , cosX , and sinX

Answer 1

`$\text{sin}(x)=(12)/(13) $`

`$\text{cos}(x)=(5)/(13) $`

`$\text{tan}(x)=(12)/(5) $`

Explanation:

Consider:

`$\text{sin}(x)=\frac{\text{Opposite}}{\text{Hypotenuse}} $`

`$\text{cos}(x)=\frac{\text{Adjacent}}{\text{Hypotenuse}} $`

`$\text{tan}(x)=\frac{\text{Opposite}}{\text{Adjacent}} $`

I will apply adjacent side to angle
`x` as 5. and opposite side to angle
`x` as 12.

So,

`$\text{sin}(x)=(12)/(13) $`

`$\text{cos}(x)=(5)/(13) $`

`$\text{tan}(x)=(12)/(5) $`

Answer 2

tan x 5

12

sin x 5

13

cos x 12

13

this is the correct answer