Question

Evaluate tan7 tan 23 tan 60 tan 67 tan 83

Answer 1

tan 7 tan 83 tan 23 tan 67 tan 60
=tan7 cot(90-7) tan23 cot(90-23) root3
=1 × 1 × root3
=root3

Answer 2

Answer:

Given, tan7°tan23°tan60°tan67°tan83°

= tan(90°-83°)tan83°tan(90-67°)tan67°tan60°

= cot83°tan83°cot67°tan67°tan60°

= (1/tan83°) × tan83° × (1/tan67°) × tan67°× tan60°

= 1 × 1 × tan60°

= √3 (ans.)Step-by-step explanation: