Question

Value of tan5° tan40° tan45° tan50° tan85°

Answer 1

Step-by-step explanation:

tan5°tan85°tan40°tan50°tan45°

=tan5°tan(90-5)tan40°tan(90-40)°tan45°

=tan5°cot5°tan40°cot40°tan45°

=1

Answer 2

Step-by-step explanation:

tan5° tan40° tan45° tan50° tan85°

=tan5°× cot5°×tan40°×cot40°×tan45°

(°•° tanø=cot(90-ø))

=1

(°•° tanø.cotø=1,tan45°=1)