Question 9
TrigonometrySimplify: (tan 80° − tan 20°)/(1 + tan 80° tan 20°)
- A.3√2
- B.2√3
- C.√3
- D.√2
Show the answer and explanation
Answer: C (√3)
Explanation
This is the formula for tan(A − B) with A = 80° and B = 20°, so it equals tan 60° = √3.
Simplify: (tan 80° − tan 20°)/(1 + tan 80° tan 20°)
Answer: C (√3)
This is the formula for tan(A − B) with A = 80° and B = 20°, so it equals tan 60° = √3.