Given sin x = 7/25 and cos x = 24/25 what is the ratio for tan x

Question

asked Feb 2, 2019 162k views

2 Answers

Andrey Sitnik · Answer 1 · 2019-02-07T20:59:14+0000

The ratio for tan x is:

(7)/(24)

We are given a value of the sine trignometric function as:

$\sin x=(7)/(25)$

and the cosine trignometric function is given by:

$\cos x=(24)/(25)$

We are asked to find the value of the tangent function.

We know that the tangent trignometric function is given by the formula:

$\tan x=(\sin x)/(\cos x)$

Hence, by putting the value of sine and cosine function in the formula we get:

$\tan x=((7)/(25))/((24)/(25))\\\\\\i.e.\\\\\\\tan x=(7)/(24)$