Question

Value of tan1 tan2 tan3....tan89 is

Answer 1

Answer: 1

Step-by-step explanation:

tan1×tan89

=cot(90-1)×tan89

=cot89×tan89

=cot89×1/cot89

=1

Similarly, tan2×tan88=1,tan3×tan87=1.........

Then, the result will be

1×1×1×1×1......

=1

Answer 2

Hallo dear,

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

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 

Where n = any positive integer 

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