Question

value of tan 1 tan 2_ tan 89is​

Answer 1

Answer:

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

We know that tanA.cotA=1

1 x 1 x 1 x 1 x … x 1

As 1ⁿ = 1

Step-by-step explanation:

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Answer 2

Answer:

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

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

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

we know that tan A . cot A = 1

1 × 1 × 1 × ... × 1

As 1^n = n