Given tan x 1/2 and sin x is negative what is sin x in radical form

Answer 1

Are you saying tanx=.5?

Answer 2

tan is positive and sin is negative

this means you are in the 3rd quadrant where sin and cos are both negative which makes tan positive

tan(x)=1/2

draw a right triangle

tan=opposite/adjacent

find the hypotenuse

1^2+2^2=h^2

1+4=h^2

h^2=5

h=√5

sin=opposite/hypotenuse

sinx=1/√5

sinx=√5/5

sinx=-√5/5