Question

Write the ratios for sin X and cos X.

Answer 1

Answer: First Option

`sin(X)=(√(119))/(12)`,
`cos(X)=(5)/(12)`

Explanation:

We know that the sine function is defined as:

`sin(x)=(Opposite)/(Hypotenuse)`

In the same way the cosine function is defined as:

`cos(x)=(adjacent)/(Hypotenuse)`

Therefore it is fulfilled that:

Opposite: is the length of the side opposite angle

Adjacent: It is the length of the side that contains the angle of 90 ° and angle

Hypotenuse: It is the length of the side opposite the angle of 90 °

So for angle X:

`Opposite=√(119)`

`Adjacent=5`

`Hypotenuse=12`

Finally:

`sin(X)=(√(119))/(12)`

`cos(X)=(5)/(12)`