Question

Trigonometry please solev it

Tan 5 x tan 25 x tan 45 x tan 65 x 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

tan5 tan25 tan45 tan65 tan85

=tan(90-85) tan(90-65) tan45 tan65 tan85

=cot85 cot85 * 1* tan65 tan85

=1*1*1

=1.