Question

if tan(x)=-5/12 then sin(x)=?,cos(x)=?

Answer 1

We know tangent = opposite/adjacent..

So you make a triangle....pick an angle...and use tanx = -5/12 to place the numbers as I did

Answer 2

And since you have 2 legs of the triangle and you want the hypotenuse you can use the Pythagorean Theorem to solve for that hypotenuse...we found to be 13

Answer 3

So now...

sinx = opposite/hypotenuse...

From that angle 'x' we look at the opposite side to it (-5) and the hypotenuse (13)

so sinx = -5/13

Answer 4

And cosx same thing... cos = adjacent/hypotenuse

From that angle we want the adjacent side (12) and the hypotenuse (13)

so cosx = 12/13

Answer 5

i understand the process.thanks