Question

If tan 2A = cot (46° - A), then what is the value of A?

• A. 2 degree
• B. 16 degree
• C. 8 degree
• D. 44 degree

Answer 1

Answer:

D. 44 degree

Solution: Given: tan 2A = cot (46° - A), Formula Used: If tanA = tanB then A = B If cot A = cot B then A = B Calculation: We have tan 2A = cot (46° - A) ⇒ cot (90° - 2A) = cot (46° - A), ⇒ (90° - 2A) = (46° - A), ⇒ A = 44° ∴ The measurement of angle A is 44°.