this is embarrassing but

how do you find the value of tan67.5˚ in surd form?

Using the tan2θ identity and without a calculator?

Question

this is embarrassing but

how do you find the value of tan67.5˚ in surd form?

Using the tan2θ identity and without a calculator?

anonymous · Answer

@TuringTest any idea?

anonymous · Answer

actually it's not embarrasing i don't know what surd form is lol xD

anonymous · Answer

uh its like, square roots and no decimals? i think you call them radicals

turingtest · Answer

it's not obvious to me how to do it immediately, but this will surely help http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf

anonymous · Answer

i have that >< i've filled in the tangent identity but i can't find a link to tan67.5˚

turingtest · Answer

well considering we are supposed to use the $\tan2\theta$ identity, if we treat $\theta$ as 67.5 deg, then $2\theta=135^{\circ}$, which is a special value on the unit circle
i would prefer to turn this into radians for simplicity

anonymous · Answer

ahhhh

damn that was 
thankyu

turingtest · Answer

welcome :)