Question

Write the ratios for sin X and cos X.

Answer 1

Answer: First Option

$sin(X)=\frac{\sqrt{119}}{12}$,  $cos(X)=\frac{5}{12}$

Step-by-step explanation:

We know that the sine function is defined as:

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

In the same way the cosine function is defined as:

$cos(x)=\frac{adjacent}{Hypotenuse}$

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:

$Opposite=\sqrt{119}$

$Adjacent=5$

$Hypotenuse=12$

Finally:

$sin(X)=\frac{\sqrt{119}}{12}$

$cos(X)=\frac{5}{12}$