Question 1028892

Find the values of Sin, Tan, Cos, Cot, Sec, and Csc for the argument.

1. 5pi/4

2. 2pi/3

3.5pi/6

4. -7pi/4
I didn't know how to do these because they aren't angles. Thanks!
<pre>{{{5pi/4}}}, converted to degrees = {{{225}}}
{{{sin (225^o)}}} has a reference angle of {{{45^o}}}, but is in the 3rd quadrant, where sin is < 0 (negative).
Therefore, {{{sin (225 ^o)}}} = {{{- sin (45^o)}}} = {{{highlight_green(- sqrt(2)/2)}}}. This is the EXACT VALUE of {{{sin (5pi/4)}}}. Follow this and try to do the rest.

You can also use the UNIT CIRCLE to determine the EXACT VALUES of all of the above.