# Write the value of tan 1° tan 2° ... tan 89°.

Consider tan 1° tan 2°… tan 88° tan 89°

= tan 1° tan 2°… tan 44° tan 45° tan 46° …tan 88° tan 89°

= tan 1° tan 2°…tan 44° tan 45° tan (90° – 44° ) …tan (90° – 2°) tan (90° – 1°)

= tan 1° tan 2° … tan 44 ° tan 45° cot 44° …cot 2° cot 1°

= tan 1° cot 1° tan 2° cot 2°… tan 44 ° cot 44 ° tan 45°

= 1 × 1 × ...× 1

= 1

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