Question

The value at(tan1° tan2° tan3°..........tan89°)is

Answer 1

tan1° × tan2° × tan3° ×........× tan44° × tan45° × tan46°....... × tan87° × tan88° × tan89°

= tan1° × tan2° × tan3° ×........× tan44° × tan45° × tan(90-44)°....... × tan(90-3)° × tan(90-2)° × tan(90-1)°

= tan1° × tan2° × tan3° ×........× tan44° × tan45° × cot44°....... × cot3° × cot2° × cot1°

= (tan1° × cot1°) × (tan2° × cot2°) × (tan3° × cot3°)........× (tan44° × cot44°) × tan45°

= 1 × 1 × 1 × ....... × 1 × 1
= 1

Answer 2

Answer:

ANSWER IS....

Step-by-step explanation:

tan1° × tan2° × tan3° ×...…..× tan44° × tan45° × tan46°...…. × tan87° × tan88° × tan89°

= tan1° × tan2° × tan3° ×...…..× tan44° × tan45° × tan(90-44)°...…. × tan(90-3)° × tan(90-2)° × tan(90-1)°

= tan1° × tan2° × tan3° ×...…..× tan44° × tan45° × cot44°...…. × cot3° × cot2° × cot1°

= (tan1° × cot1°) × (tan2° × cot2°) × (tan3° × cot3°)…..× (tan44° × cot44°) × tan45°

= 1 × 1 × 1 × …. × 1 × 1

= 1                              HOPE IT HLPS U