Question

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

Answer 1

$\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac45}{\frac35}=\dfrac43$

Answer 2

Answer:

$\tan x=\frac{4}{3}$

Step-by-step explanation:

Given : $\sin x=\frac{4}{5}$ and  $\cos x=\frac{3}{5}$

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,

$\tan x=\frac{\sin x}{\cos x}$

Substitute, we get,

$\tan x=\dfrac{\frac{4}{5}}{\frac{3}{5}}$

Simplify, we have,

 $\tan x=\frac{4\times 5}{5 \times 3}$

Simplify , we get,

$\tan x=\frac{4}{3}$

Thus,  $\tan x=\frac{4}{3}$