Question

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

Answer 1

does that ugly picture help?

Answer 2

the picture shows an angle \(x\) with \(\tan(x)=\frac{3}{y}\) and also \(\cos(x)=\frac{y}{z}\)

Answer 3

use the ratio \(\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}\) to get your answer

Answer 4

an alternative approach is to note that:\[\tan(x)=\frac{\sin(x)}{\cos(x)}\]therefore:\[\sin(x)=\cos(x)\times\tan(x)\]

Answer 5

that would certainly be snappier, wouldn't it?

Answer 6

So is z/3 the answer?

Answer 7

you have it upside down