The value of tan 1°.tan 2°.tan 3° ............. tan 89° is?

A. 1

B. 0

C. $$\sqrt 3 $$

D. $$\frac{1}{{\sqrt 3 }}$$

Answer: Option A

Solution(By Examveda Team)

tan 1°.tan 2°.tan 3° .......... tan 89°
If A + B = 90°
(tan 1°.tan 89°)(tan 2°.tan 88°) .......... (tan 44°.tan 46°).tan 45°
1 × 1 × 1 .......... 1 × 1 = 1