Question

solve

Tan 5 *tan 25* tan* 45 tan* 65 tan 85 ?​

Answer 1

Answer :-

=Tan 5 * tan × 25 ×tan 45 ×tan 65 ×tan 85

=Tan 5 ×tan 25 ×tan 45× tan (90-25)× tan (90-5).

As we know Tan = 1/cot

➡= Tan 5× tan 25× tan 45 × cot25 × cot5

➡Tan and cot will cancel each other as angle is same for both

➡= 1 × 1 × 1

➡= 1

Answer 2

Hello!!

Tan 5 = tan(90-85) = cot85

Tan 25 = Tan(90-65) = Cot65

Tan5 Tan25 Tan30 Tan 65 Tan85

Cot85 Cot 65 Tan30 Tan65 Tan85

tan45

1