Question

If tan x =3/4
, find sin x and cos x.​

Answer 1

Answer:

your answer is 3/5 and 4/5

Step-by-step explanation:

given that tanx=3/4=p/b

let p=3x and b=4x

then the value of h=5x

the value of sinx=p/h=3x/5x=3/5

similarly we find the value of cosx=4/5

hope it will help you ☺️

Answer 2

Answer:

sin x = 3 / 5  and cos x = 4 / 5

Step-by-step explanation:

Given :

$\large tanx=\dfrac{3}{4} \\\\\\\large \text{We know that tanx=\dfrac{Perpendicular}{Base} }\\\\\\\large \text{First find the hypotenuse}\\\\\\\large \text{We know that}\\\\\\\large (hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\\\\arge \text{putting values here we get}$

$\large (hypotenuse)^2=9+16\\\\\\\large (hypotenuse)=\sqrt{25}\\\\\\\large (hypotenuse)=5$

We know

$\large sin \ x =\dfrac{perpendicular}{hypotenuse}\\\\\\\large sin \ x =\dfrac{3}{5}\\\\\\\large cos \ x =\dfrac{base}{hypotenuse}\\\\\\ \large cos \ x =\dfrac{4}{5}$

Thus we get answer.