Math, asked by ananyajaiswal2407, 10 months ago

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

Answers

Answered by Rishabhk25

1

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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