Question

Tan35° tan40° tan45° tan50° tan55° without using tables

Answer 1

Answer:

Step-by-step explanation:

tan35° × tan40° × tan45° × tan50° × tan55°

= tan35° × tan40° × tan45° × tan(90°—40°) × tan(90°—35°)

=tan35° × tan40° × tan45° × cot40° × cot35°

=tan35° × tan40° × tan45° × (1÷tan40°) × (1÷tan35°)

=tan45°

=1