find the 6 trig functions of cos theta=.354 . I have no idea what to do with the decimal number. Where on the triangle does it go? I'm not even sure where to start.

Question

find the 6 trig functions of cos theta=.354  .  I have no idea what to do with the decimal number.  Where on the triangle does it go?  I'm not even sure where to start.

anonymous · Answer

SO, do I just turn .354 into a fraction: 354/1000 and reduce it down to a manageable number?

anonymous · Answer

So if it is like 2.5 would be 2 1/2 or 25/10?

anonymous · Answer

$$\text{Sin}\left[\text{ArcCos}\left[\frac{177}{500}\right]\right]=\frac{\sqrt{218671}}{500}=0.935245  $$

anonymous · Answer

$$\text{ArcCos}\left[\frac{177}{500}\right]=1.20895=69.2677{}^{\circ} $$
Using the degree result will allow you to find all six trig function values.

anonymous · Answer

By the way,$$\frac{354}{1000}=\frac{177}{500} $$