Question

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the value of tan1° tan2° tan3° ....tan 89° is = ____________


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Answer 1

Step-by-step explanation:

Let's take tan 89 and tan 1 in the first case and Let's take Tan 2 and tan 88 in 2nd case:-

By the Problem,[1st case]:-

=) tan(90-89) tan89

=) cot89 x tan89

=) 1/tan89 x tan89 [tan89 will be canceled on both the sides by multiplying]

=) 1. Ans.

By the Problem,[2nd Case]:-

=) tan(90-88) tan88

=) cot88 x tan88

=) 1/tan88 x tan88 [tan 88 will be canceled on both the sides by multiplying]

=) 1.Ans.

Therefore, if we go on doing this for every ratios...we will come to the answer 1 for each case.

Hence, Answer = 1.

Answer 2

I hope it will help you