SOLUTION: tan(45-60)in radical form

Algebra ->  Trigonometry-basics -> SOLUTION: tan(45-60)in radical form      Log On


   

Question 1026230: tan(45-60)in radical form
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.
tan(45-60)in radical form
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1. tan(45° - 60°) = tan(-15°) = -tan(15°). It is clear.


2. tan(15°) = sqrt%282-sqrt%283%29%29%2Fsqrt%282%2Bsqrt%283%29%29,  

   See the lesson Trigonometric functions of half argument - Examples in this site.

   Notice that  sqrt%282-sqrt%283%29%29%2Fsqrt%282%2Bsqrt%283%29%29 is the same as  2+-+sqrt%283%29,  after multiplication the numerator and denominator by sqrt%282+-+sqrt%283%29%29,  as noted the other tutor.


3. So, finally,  tan(45° - 60°) = -2+%2B+sqrt%283%29.


Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

tan(45-60)in radical form
highlight_green%28-+2+%2B+sqrt%283%29%29