Question

If tan x° = z/10 and cos x° = 10/y, what is the value of sin x°?
a. sin x° = z/y
b. sin x° = y/z
c. sin x° = 10z
d. sin x° = 10y

Answer 1

\[\tan \theta=\frac{ \sin \theta }{ \cos \theta}\]just solve for sin

Answer 2

and then plug in what you have for cos and tan

Answer 3

Would it be x° = y/z?

Answer 4

\[\sin \theta = \tan \theta \cdot \cos \theta = \frac{ z }{10 }\cdot \frac{ 10 }{ y } = \frac{ z }{\cancel{10} }\cdot \frac{ \cancel{10} }{ y } =\frac{ z }{ y }\]

Answer 5

Oh, right. I can be a real dunce when it comes to Geometry. Thanks pilot! :)

Answer 6

just remember the basic trig relationships... and don't sweat it, we ALL make mistakes!

here's a quick trig cheat sheet for you...

Answer 7

That's a pretty cool sheet. Many thanks! :)

Answer 8

you're welcome!