Question

Evaluate and simplify tan 15º.

Answer 1

Do you just want answer

Answer 2

tan(15)

= tan(45 - 30)

= [tan(45) - tan(30) ]/[ 1 + tan(30)tan(45)

= (1 - 1/√3) /(1 + 1/√3)

= (√3 - 1)/(√3 + 1)

= (√3 - 1)^2 /(3 - 1)

= 1/2 [3 + 1 - 2√3 ]

= (2 - √3 )

Answer 3

just split it up into parts thats all

Answer 4

i really apreciate this thank you

Answer 5

for the alternate method, you may also use

tan 30 = 2tan15 / (1- tan^2 15)

a quadratic eqn in tan 15 which you should be able to solve easily..

but still the method above is shorter and sweeter! :)

Answer 6

yes true man

Answer 7

or how about this :



tan 15 = x/ sqrt(3)

now from angle bisector theorem,

sqrt(3) /x = 2 /(1-x)

you may solve for x here and thus solve for tan 15 ..

there are more methods !! :P