SOLUTION: sHOW HOW THEY EQUAL tan 60 degrees- tan 30 degrees/1+ tan 60 degrees tan 30 degrees = tan 30 degrees. HEY CAN SOMEONE HELP, I AM LOST

Question 181073: sHOW HOW THEY EQUAL
tan 60 degrees- tan 30 degrees/1+ tan 60 degrees tan 30 degrees = tan 30 degrees.
HEY CAN SOMEONE HELP, I AM LOST
Answer by eperette(173) (Show Source): You can put this solution on YOUR website!
THINGS YOU SHOULD KNOW:
tan60= sin60/cos60 = (sqr(3)/2)/(1/2)= sqr(3)
tan30= sin30/cos30 = (1/2)/(sqr(3)/2)= 1/sqr(3)= sqr(3)/3
(tan60-tan30)/(1+tan60tan30)
(sqr(3)-sqr(3)/3)/(1+sqr(3)*1/sqr(3))
(3sqr(3)/3 - sqr(3)/3)/ (1+1)
(2sqr(3)/3)/ (2)
(2sqr(3)/3)(1/2)
sqr(3)/3
and sqr(3)/3=tan30
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