tan10.tan15.tan75.tan80
Find the value.
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Tan10×Tan15×Tan75×Tan80
=Tan(90-80)×Tan(90-75)×Tan75×Tan80
=Cot10×Cot15×Tan75×Tan80
[As Tan(90-¢)= Cot¢ ]
={Cot10×Tan80}×{Cot15×Tan75}
=1×1
=1
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