Question

tan4°.tan8°.tan12°.....tan88°

Answer 1

The vaue of tan2°. tan4°. tan6°... tan88° is "1".

Step-by-step explanation:

We have, tan4°.tan8°.tan12°.....tan88°

= tan2°. tan4°. tan6°... tan88°

= tan2°. tan4°. tan6°... tan44°. tan ( 90° - 46° )... tan(90°- 88°)  

=tan2°. tan4°...tan44°. cot44​°... cot4°. cot2°

= 1

Hence, the vaue of tan2°. tan4°. tan6°... tan88° is "1".