Question

If cot A = tan(2A - 45°), A is an acute angle then tan A is equal to:

• A. $$\sqrt{3}$$
• B. 0
• C. 1
• D. 1/2

Answer 1

Answer:

C. 1

Solution:

Given

cot A = tan(2A - 45°)

Concept

cot A = tan(90° - A)

Calculation

⇒ cot A = tan(2A - 45°)

⇒ tan(90° - A) = tan(2A - 45°)

⇒ 90° - A = 2A - 45° 

⇒ A = 45° 

⇒ tan A = tan 45° = 1

∴ The correct answer is 1.