Question

Tan 5.Tan 30.4Tan 85 is equal to?​

Answer 1

Tan 5 . Tan 30 . 4Tan 85

Tan 30 = 1/√3

Tan 5 = cot(90-5) = cot 85

so

1/√3 .cot85. tan 85

1/√3. 4×1/tan85×tan85. ( cot x = 1/tanx )

1×4/√3.

4/√3 is the answer

Answer 2

Answer:

=Tan 5.tan30.4 tan85

=tan (90-85)×tan30×4×tan 85

=cot 85×1/√3 ×4× tan 85. (tan=1/√3)

=Cot 85×tan 85 ×1/√3×4

=1 ×4×1/√3. (cot theita × tan theita=1)

= 4/√3