This is probably one of the easiest concepts but I do not get it, so I am going to give the two problems that are giving me the most trouble on my very long worksheet I have to do, maybe you guys can help me understand how to do it all.
1.) $\tan(-3π/2)$;
2.) $\cos(17π/3)$
Steps and explanations would be very helpful, thanks and please no judging on my lack of knowledge in math! I said this in the comments below but thought I would put it up here too. My teacher has us writing it out like this, for example, tan(-3π/2)= -y/x=____. We have to write the problem, show that we know the definition (hence the y/x part) and then look on our trig wheel and fill in the x and y coordinates. I don't know why I am confused, I guess I am just having trouble locating it on the trig wheel, but if you know how to work it this way can anyone show me step by step?
Remember that sin and cos are $2\pi$ periodic. Also remember that cos is even and sin is odd.
$\tan(-3\pi/2)=\frac{\sin(-3\pi/2)}{\cos(-3\pi/2)}=\frac{\sin(\pi/2)}{\cos(\pi/2)}$
$\cos(17\pi/3)=\cos(-\pi/3)=\cos(\pi/3)$