Question

9. Find sin(x), cos(x), tan(x) where x = 2910 degrees

Answer 1

ANSWER and EXPLANATION

We want to find the sine, cosine and tangent of 2910 degrees.

To do this, we have to find this number in radians (in terms of pi).

We have that, in radians:

`\begin{gathered} 180\text{ degrees = }\pi\text{ radians} \\ 2910\text{ degrees = x radians} \\ \Rightarrow\text{ x = }\frac{2910\cdot\text{ }\pi}{180} \\ x\text{ = 16.167}\pi \end{gathered}`

Now, find the sine, cosine and tangent in radians:

`\begin{gathered} \text{ sine(16.167}\pi)\text{ = 0.5} \\ \text{cos(}16.167\pi)\text{ = 0.8660} \\ \text{tan}(16.167\pi)\text{ = 0.5774} \end{gathered}`