SOLUTION: B. Rewrite each expression as a function of a single angle. You do not need to solve for the function at that angle. tan 28° + tan 77° / 1 - ( tan 28°)( tan 77° )

Algebra ->  Trigonometry-basics -> SOLUTION: B. Rewrite each expression as a function of a single angle. You do not need to solve for the function at that angle. tan 28° + tan 77° / 1 - ( tan 28°)( tan 77° )      Log On


   

Question 1205809: B. Rewrite each expression as a function of a single angle. You do not need to solve for the function at that angle.
tan 28° + tan 77° / 1 - ( tan 28°)( tan 77° )
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.
Rewrite each expression as a function of a single angle.
You do not need to solve for the function at that angle.
%28tan%2828%5Eo%29+%2B+tan%2877%5Eo%29%29%281+-+tan%2828%5Eo%29%2Atan%2877%5Eo%29%29
~~~~~~~~~~~~~~~~~~~~~ 


Use the formula of adding arguments for tangent function

    tan(a+b) = %28tan%28a%29+%2B+tan%28b%29%29%2F%281-tan%28a%29%2Atan%28b%29%29


and get

  %28tan%2828%5Eo%29%2Btan%2877%5Eo%29%29%281-tan%2828%5Eo%29%2Atan%2877%5Eo%29%29 = tan(28°+77°) = tan(105°).    ANSWER


The last expression is what you want to get.

Solved.