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