Cute Little Trigs

[thinktank2]

This thread is for sharing all your trigonometry puzzles that are short and sweet..

Ok..here are mine..

1. tan1^o * tan2^o * tan3^o * tan4^o * .....................tan89^o = ???

2. Sin²5^o + Sin²10^o + Sin²15^o + ..... + Sin²85^o + Sin²90^o = ???

You are not supposed to use calculators or any math program and you have to prove the results.