Question

tan 45° tan 13° tan 77° tan 85°=1
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Answer 1

Answer:

1

Step-by-step explanation:

=tan45° (tan13° tan77°) tan45°

= 1×1×1

=1

Answer 2

Answer:

LHS = tan 45° tan 13° tan 77° tan 85°

= tan 45° tan 13° tan(90°-77°) tan(90°-45°)

= tan 45° tan 13° cot 13° cot 45°

= tan 45° × cot 45° × tan 13° × cot 13°

= 1 × 1

= 1

= RHS

Therefore, LHS = RHS

Hence, proved.

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