If tan x ̊=3 divided by y and cos x ̊=y divided by z, what is the value of tan x°?

Question

anonymous · Answer

attachment

lgbasallote · Answer

let me clarify...

$\tan x = \frac{3}{y}$ and $\cos x = \frac{y}{z}$ right?

anonymous · Answer

Yess.

lgbasallote · Answer

and you're asking for tan x?? isnt it a given already :P

lgbasallote · Answer

or do you mean sin x

anonymous · Answer

the question says tan but the answer choices say sin..

anonymous · Answer

A. sin x°=3 divided by z

B. sin x°=3y

C. sin x°=z divided by 3

D. sin x ̊= 3z

lgbasallote · Answer

oh lol must've been a typo..they're looking for sin x...

well let me tell you that tan x = opposite/adjacent

since tanx = 3/y we can see that opposite = 3 and adjacent = y

are you with me?

anonymous · Answer

Lol yes, kind of..

lgbasallote · Answer

good...so let's look at cosine...cosx = adjacent/hypotenuse

since cosx = y/z this means that adjacent is y and hypotenuse is z

lgbasallote · Answer

so now you have values of opposite, hypotenuse and adjacent...but to solve sine you need

sinx = opposite/hypotenuse

anonymous · Answer

Oh I got it..so the opposite is 3 and the hypotenuse is z, right?

anonymous · Answer

So the answer is sin x= 3/z?

lgbasallote · Answer

$\Huge \color{red}{\checkmark}$

anonymous · Answer

Thanks :)

lgbasallote · Answer

happy to help ^_^ <tips imaginary hat>