1.

Prove that:(i) tan 5º tan 25º tan 30° tan 65° tan 85º =1 by under root 3 ​

Answer»

Step-by-step explanation:

=TAN5 tan25 tan65 TAN85 tan30

[using IDENTITY tanx = cot(90 - x)]

=tan5 tan25 cot(90 - 25) cot(90 -5) tan30

=tan5 tan25 cot25 cot5 tan30

[using identity (tanx x cotx =1)]

=1 x 1 x tan30

=tan30

=1/root 3



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