Use an addition or subtraction formula to write the expression as a trigonometric function of one number: (tan 76∘ − tan 16∘)/( + tan 76∘ tan 16∘)= tan A∘=sqrt(B). Find A and B

Answer 1

A =60

B= 3

There is a typo in the denominator as there is a missing 1 before the + sign (clearly, a misprint, because you wouldn't have a + sign with nothing in front of it). This is the tan difference formula, or if you prefer, the tan sum formula, noting that tan -16° = - tan 16°. 76 - 16 = 60. As sin 60° = √3/2 and cos 60° = 1/2, tan 60° = √3/2/(1/2) = √3