4 Find nat values of the kilowing triesney ants see eat ek a

4. Find nat values of the kilowing triesney ants see eat ek at tea derities Oo decrnal anmin. You ally pt the 2 ports ryoonlydea the an aer wind (a) tan 210\"

Solution

The angle 210 degrees will fall in the third quadrant. This means that the x-coordinate is negative and the y-coordinate is negative. Also you can calculate using the 30-60-90 triangle since 210-180=30 degrees. You will need to draw a graph to see this more clearly.

So x-coordinate will be cos(30) = -(3/2)  and y-coordinate is sin30 = -1/2
Then we have

tan210 = sin30/cos30 = (-1/2)/-(3/2)  = 1/3