The ratio for tan x is:
[tex]\dfrac{7}{24}[/tex]
We are given a value of the sine trignometric function as:
[tex]\sin x=\dfrac{7}{25}[/tex]
and the cosine trignometric function is given by:
[tex]\cos x=\dfrac{24}{25}[/tex]
We are asked to find the value of the tangent function.
We know that the tangent trignometric function is given by the formula:
[tex]\tan x=\dfrac{\sin x}{\cos x}[/tex]
Hence, by putting the value of sine and cosine function in the formula we get:
[tex]\tan x=\dfrac{\dfrac{7}{25}}{\dfrac{24}{25}}\\\\\\i.e.\\\\\\\tan x=\dfrac{7}{24}[/tex]
