If tan x = .67 and cos x = .83, what is sin x?

Question

tyteen4a03 · Answer

Hint: Remember that tan x = sin x / cos x.

hero · Answer

Also, write it as|dw:1348069798438:dw|

$$\tan \theta = \frac{67}{100}$$ and $$\cos \theta = \frac{83}{100}$$

And use $\theta$ , not $x$ for angles

Now use right triangle trigonometry:

anonymous · Answer

tan = sin / cos
sin = tan * cos

tyteen4a03 · Answer

@Hero It's standard to call the angle as theta, but it's really just personal preferences.

hero · Answer

Yeah but that's why students get confused because the unknown side of the triangle is usually labeled $x$

anonymous · Answer

@Hero tyteen is right

hero · Answer

I don't need anyone to tell me who is right. I'm also right as well. It's called "perspective".

anonymous · Answer

x is written mostly when it is in radians

hero · Answer

It's not my fault that they decided to use x to represent such quantities. "The mathematicians" with all of the different symbols they use could have thought of a symbol besides x to represent radians