Question

Given sinx=4/5 and cosx=3/5 .

What is ratio for ​ tanx ​ ?



Enter your answer in the boxes as a fraction in simplest form.

Answer 1

`\tan x=(\sin x)/(\cos x)=(\frac45)/(\frac35)=\frac43`

Answer 2

`\tan x=(4)/(3)`

Explanation:

Given :
`\sin x=(4)/(5)` and
`\cos x=(3)/(5)`

We have to find the ratio for
`\tan x`

Consider the trigonometric ratio, we know the ratio of sine and cosine is tangent.

Written mathematically as,

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

Substitute, we get,

`\tan x=((4)/(5))/((3)/(5))`

Simplify, we have,

`\tan x=(4* 5)/(5 * 3)`

Simplify , we get,

`\tan x=(4)/(3)`

Thus,
`\tan x=(4)/(3)`