Question 39
TrigonometryEvaluate (tan 120° + tan 30°)/(tan 120° − tan 60°).
- A.√3 + √2
- B.2/3
- C.1/3
- D.−2√3
Show the answer and explanation
Answer: C (1/3)
Explanation
Numerator: −√3 + 1/√3 = −2/√3. Denominator: −√3 − √3 = −2√3. Ratio = 1/3.
Evaluate (tan 120° + tan 30°)/(tan 120° − tan 60°).
Answer: C (1/3)
Numerator: −√3 + 1/√3 = −2/√3. Denominator: −√3 − √3 = −2√3. Ratio = 1/3.