How much value is tan 30o is ?

1 Answer
Mar 10, 2018

Shown below...

Explanation:

#tan theta = sin theta / cos theta #

If you mean #tan(30) #

#tan(30^circ ) = sin(30^circ)/cos(30^circ ) = (1/2)/(sqrt(3)/2) #

# => 1/2 * 2/sqrt(3) = 1/sqrt(3) #

If you meant #tan(300) #

#tan(theta - 360^circ ) -= tan theta #

#=> tan(300^circ ) = tan(300^circ-360^circ ) #

#= tan(-60^circ ) = sin(-60^circ)/cos(-60^circ ) #

#= -sqrt(3) #