Question

The value of tan 1° tan 2° tan 3° ……tan 89° is
A. 1
B. -1
C. 0
D. None of these

Answer 1

Step-by-step explanation:

aaaaaaaaaaaaaa -1 aaaa

Answer 2

A. 1

Step-by-step explanation:

tan 1° tan 2° tan 3° ……tan 89° = tan 1° tan 2° tan 3°....... Cot (90-87)°.Cot (90-88)°.Cot (90-89)°.

= tan 1° tan 2° tan 3°....... Cot 3°.Cot 2°.Cot 1°.

We know that TanA.CotA = 1

So, LHS becomes:

= tan 1°.Cot 1°.tan 2°.Cot 2°.tan 3°.Cot 3°......

= 1 * 1 * 1.....

= 1

Value of tan 1° tan 2° tan 3° ……tan 89° = 1.

Option A is the answer.