Question

prove that it Tan1°,Tan2°Tan3°••••••Tan88;Tan89°=1​

Answer 1

Step-by-step explanation:

This is easy.

Tan (90-x) = Cot x

Tan 1=cot 89

Tan 2=cot 88

Similarly till tan 44=cot46

Moreover tan 45 =1 (we know this)

Also cotx. tanx=1

tan 1.tan2....tan44.tan45.tan46....tan88.tan89

=cot 89.cot88....cot46 x 1 x tan 46....tan 88.tan89

= cot 89.tan89.cot 88.tan88.....cot 46.tan46

=1.1.1......1

=1

Hope u understand