How to find exact values of circular functions?

Question

Can someone please explain how to do question 1g? Thanks!

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Answer 1 · 2017-11-09T17:17:29

See below.

For 1g.

Notice that #420^o# is one complete revolution plus #60^o#. So we are really only looking for the sin cos and tan of #60^o#

#sin(60^o)=sqrt(3)/2#

#cos(60^o)=1/2#

#tan(60^o)=sqrt(3)#