help with homework.
my directions are:
-find the exact value without the use of a calculator.
1) sin(pi)
2) tan(3pi/2)
3) csc(585 degrees)
what are the steps to get the answeres without a calculator?
Remember that in radians, 360 degrees = $\displaystyle 2\pi.$ One unit's distance around a circle is one radian.
The function $\displaystyle \sin\,\theta$ returns the y-coordinate of the point of the unit circle with radians $\displaystyle \theta.$
The function $\displaystyle \tan\,\theta$ returns the slope of the line through that point, and $\displaystyle \csc\,\theta\,=\,\frac{1}{\sin\,\theta}.$