Question

Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number.

(tan(74°)-tan(14°))/(1+tan(74°)tan(14°))

=__________

Find it's exact value (not decimal form)

=__________


Note: A similar question(but with different degrees) had the answers for question part 1 and 2 as this

1). tan 30°
2). 1/square root{3}

Answer 1

recall that

tan(x-y) = (tanx-tany)/(1 + tanx tany)