Question

Prove that, tan181⁰tan182⁰tan183⁰....tan267⁰tan268⁰tan269⁰=1​

Answer 1

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Answer 2

Answer:

tan181⁰tan182⁰tan183⁰....tan267⁰tan268⁰tan269⁰=1

Step-by-step explanation:

tan181⁰tan182⁰tan183⁰....tan267⁰tan268⁰tan269⁰ =

tan181⁰tan(450°-181⁰)tan182⁰tan(450°-182°)tan183°tan(450°-183°)= tan181°cot181°tan182°cot182°tan183°cot183° =1×1×1 =1 (proved)