Question

evaluate.
tan1° tan2° tan3° ... tan89°​

Answer 1

Answer:

the answer of this question is 1

Answer 2

Answer:

1

Step-by-step explanation:

tan 1 . tan 2 . tan 3 ... tan 87 . tan 88 . tan 89 = LHS  

tan 1 . tan 2 . tan 3 ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)  

tan 1 . tan 2  . tan 3 ... cot 3 . cot 2 . cot 1  

tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 89 . cot 89  

1 x 1 x 1 x 1 x ... x 1  

As 1ⁿ = 1  = RHS  

Where n = any positive integer