Question

please solve this

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

Answer 1

=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